Least Common Multiple (LCM) of 157 and 126
The least common multiple (LCM) of 157 and 126 is 19782.
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 126?
First, calculate the GCD of 157 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 126 = 1 remainder 31 |
| 2 | 126 ÷ 31 = 4 remainder 2 |
| 3 | 31 ÷ 2 = 15 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 96 | 12000 |
| 70 and 15 | 210 |
| 145 and 185 | 5365 |
| 95 and 180 | 3420 |
| 18 and 82 | 738 |