Least Common Multiple (LCM) of 156 and 124
The least common multiple (LCM) of 156 and 124 is 4836.
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 124?
First, calculate the GCD of 156 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 124 = 1 remainder 32 |
| 2 | 124 ÷ 32 = 3 remainder 28 |
| 3 | 32 ÷ 28 = 1 remainder 4 |
| 4 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 74 | 1110 |
| 86 and 99 | 8514 |
| 106 and 111 | 11766 |
| 144 and 143 | 20592 |
| 15 and 126 | 630 |