Least Common Multiple (LCM) of 157 and 38
The least common multiple (LCM) of 157 and 38 is 5966.
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 38?
First, calculate the GCD of 157 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 38 = 4 remainder 5 |
| 2 | 38 ÷ 5 = 7 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 116 | 16124 |
| 134 and 39 | 5226 |
| 151 and 69 | 10419 |
| 119 and 101 | 12019 |
| 72 and 119 | 8568 |