Least Common Multiple (LCM) of 60 and 118
The least common multiple (LCM) of 60 and 118 is 3540.
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 118?
First, calculate the GCD of 60 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 118 = 0 remainder 60 |
| 2 | 118 ÷ 60 = 1 remainder 58 |
| 3 | 60 ÷ 58 = 1 remainder 2 |
| 4 | 58 ÷ 2 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 96 | 1632 |
| 161 and 40 | 6440 |
| 189 and 182 | 4914 |
| 102 and 122 | 6222 |
| 106 and 55 | 5830 |