Math Problem Statement
what is the lcm of 20 and 55
Solution
The Least Common Multiple (LCM) of 20 and 55 is the smallest number that both 20 and 55 divide into without leaving a remainder.
Steps to find the LCM:
-
Prime Factorization:
-
LCM Calculation: Take the highest power of each prime factor present in the factorizations.
- From 20: and
- From 55: and
The LCM is .
Thus, the LCM of 20 and 55 is 220.
Would you like more details or have any questions?
Related Questions:
- What is the LCM of 20 and 30?
- How do you find the GCD (Greatest Common Divisor) of two numbers?
- What is the LCM of 15, 20, and 55?
- Can the LCM be smaller than both numbers?
- What is the relationship between LCM and GCD?
Tip: The LCM of two numbers is always divisible by both numbers!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Number Theory
Least Common Multiple (LCM)
Prime Factorization
Formulas
LCM(a, b) = (a * b) / GCD(a, b)
Theorems
Prime Factorization
Suitable Grade Level
Grades 5-7