Least Common Multiple (LCM) of 126 and 156
The least common multiple (LCM) of 126 and 156 is 3276.
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 126 and 156?
First, calculate the GCD of 126 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 156 = 0 remainder 126 |
| 2 | 156 ÷ 126 = 1 remainder 30 |
| 3 | 126 ÷ 30 = 4 remainder 6 |
| 4 | 30 ÷ 6 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 142 | 12354 |
| 140 and 135 | 3780 |
| 65 and 37 | 2405 |
| 118 and 18 | 1062 |
| 13 and 139 | 1807 |