Least Common Multiple (LCM) of 157 and 124
The least common multiple (LCM) of 157 and 124 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 157 and 124?
First, calculate the GCD of 157 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 124 = 1 remainder 33 |
| 2 | 124 ÷ 33 = 3 remainder 25 |
| 3 | 33 ÷ 25 = 1 remainder 8 |
| 4 | 25 ÷ 8 = 3 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 182 | 28938 |
| 50 and 168 | 4200 |
| 133 and 63 | 1197 |
| 60 and 69 | 1380 |
| 129 and 161 | 20769 |