Least Common Multiple (LCM) of 36 and 124
The least common multiple (LCM) of 36 and 124 is 1116.
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 36 and 124?
First, calculate the GCD of 36 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 124 = 0 remainder 36 |
| 2 | 124 ÷ 36 = 3 remainder 16 |
| 3 | 36 ÷ 16 = 2 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 75 | 11775 |
| 148 and 124 | 4588 |
| 148 and 107 | 15836 |
| 191 and 125 | 23875 |
| 10 and 156 | 780 |