Least Common Multiple (LCM) of 60 and 55
The least common multiple (LCM) of 60 and 55 is 660.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 60 and 55?
First, calculate the GCD of 60 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 55 = 1 remainder 5 |
| 2 | 55 ÷ 5 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 189 | 6426 |
| 129 and 95 | 12255 |
| 40 and 126 | 2520 |
| 185 and 87 | 16095 |
| 49 and 57 | 2793 |