Least Common Multiple (LCM) of 137 and 62
The least common multiple (LCM) of 137 and 62 is 8494.
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 137 and 62?
First, calculate the GCD of 137 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 62 = 2 remainder 13 |
| 2 | 62 ÷ 13 = 4 remainder 10 |
| 3 | 13 ÷ 10 = 1 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 160 | 5600 |
| 153 and 87 | 4437 |
| 12 and 164 | 492 |
| 114 and 10 | 570 |
| 120 and 134 | 8040 |