Least Common Multiple (LCM) of 156 and 137
The least common multiple (LCM) of 156 and 137 is 21372.
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 156 and 137?
First, calculate the GCD of 156 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 137 = 1 remainder 19 |
| 2 | 137 ÷ 19 = 7 remainder 4 |
| 3 | 19 ÷ 4 = 4 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 131 | 16506 |
| 124 and 63 | 7812 |
| 156 and 55 | 8580 |
| 57 and 83 | 4731 |
| 85 and 129 | 10965 |