Least Common Multiple (LCM) of 124 and 157
The least common multiple (LCM) of 124 and 157 is 19468.
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 124 and 157?
First, calculate the GCD of 124 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 157 = 0 remainder 124 |
| 2 | 157 ÷ 124 = 1 remainder 33 |
| 3 | 124 ÷ 33 = 3 remainder 25 |
| 4 | 33 ÷ 25 = 1 remainder 8 |
| 5 | 25 ÷ 8 = 3 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 20 | 540 |
| 118 and 180 | 10620 |
| 160 and 193 | 30880 |
| 31 and 55 | 1705 |
| 130 and 88 | 5720 |