Least Common Multiple (LCM) of 156 and 51
The least common multiple (LCM) of 156 and 51 is 2652.
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 51?
First, calculate the GCD of 156 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 51 = 3 remainder 3 |
| 2 | 51 ÷ 3 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 87 | 348 |
| 109 and 112 | 12208 |
| 63 and 69 | 1449 |
| 145 and 139 | 20155 |
| 10 and 115 | 230 |