Least Common Multiple (LCM) of 156 and 15
The least common multiple (LCM) of 156 and 15 is 780.
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 15?
First, calculate the GCD of 156 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 15 = 10 remainder 6 |
| 2 | 15 ÷ 6 = 2 remainder 3 |
| 3 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 67 | 10519 |
| 177 and 86 | 15222 |
| 44 and 19 | 836 |
| 48 and 126 | 1008 |
| 135 and 119 | 16065 |