Least Common Multiple (LCM) of 125 and 56
The least common multiple (LCM) of 125 and 56 is 7000.
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 56?
First, calculate the GCD of 125 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 56 = 2 remainder 13 |
| 2 | 56 ÷ 13 = 4 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 156 | 2652 |
| 76 and 147 | 11172 |
| 70 and 119 | 1190 |
| 133 and 187 | 24871 |
| 163 and 112 | 18256 |