Least Common Multiple (LCM) of 157 and 39
The least common multiple (LCM) of 157 and 39 is 6123.
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 39?
First, calculate the GCD of 157 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 39 = 4 remainder 1 |
| 2 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 27 | 3294 |
| 36 and 184 | 1656 |
| 121 and 47 | 5687 |
| 199 and 182 | 36218 |
| 87 and 105 | 3045 |