Least Common Multiple (LCM) of 118 and 62
The least common multiple (LCM) of 118 and 62 is 3658.
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 118 and 62?
First, calculate the GCD of 118 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 62 = 1 remainder 56 |
| 2 | 62 ÷ 56 = 1 remainder 6 |
| 3 | 56 ÷ 6 = 9 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 132 | 660 |
| 83 and 57 | 4731 |
| 65 and 134 | 8710 |
| 133 and 110 | 14630 |
| 182 and 129 | 23478 |