Least Common Multiple (LCM) of 125 and 156
The least common multiple (LCM) of 125 and 156 is 19500.
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 125 and 156?
First, calculate the GCD of 125 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 156 = 0 remainder 125 |
| 2 | 156 ÷ 125 = 1 remainder 31 |
| 3 | 125 ÷ 31 = 4 remainder 1 |
| 4 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 101 | 8282 |
| 196 and 175 | 4900 |
| 104 and 56 | 728 |
| 47 and 31 | 1457 |
| 100 and 156 | 3900 |