Least Common Multiple (LCM) of 156 and 120
The least common multiple (LCM) of 156 and 120 is 1560.
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 120?
First, calculate the GCD of 156 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 120 = 1 remainder 36 |
| 2 | 120 ÷ 36 = 3 remainder 12 |
| 3 | 36 ÷ 12 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 129 | 8385 |
| 172 and 156 | 6708 |
| 31 and 89 | 2759 |
| 114 and 78 | 1482 |
| 120 and 96 | 480 |