Least Common Multiple (LCM) of 138 and 156
The least common multiple (LCM) of 138 and 156 is 3588.
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 138 and 156?
First, calculate the GCD of 138 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 156 = 0 remainder 138 |
| 2 | 156 ÷ 138 = 1 remainder 18 |
| 3 | 138 ÷ 18 = 7 remainder 12 |
| 4 | 18 ÷ 12 = 1 remainder 6 |
| 5 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 158 | 2528 |
| 187 and 136 | 1496 |
| 55 and 66 | 330 |
| 52 and 74 | 1924 |
| 156 and 65 | 780 |