Least Common Multiple (LCM) of 136 and 56
The least common multiple (LCM) of 136 and 56 is 952.
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 136 and 56?
First, calculate the GCD of 136 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 56 = 2 remainder 24 |
| 2 | 56 ÷ 24 = 2 remainder 8 |
| 3 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 185 | 5365 |
| 117 and 40 | 4680 |
| 164 and 185 | 30340 |
| 35 and 195 | 1365 |
| 126 and 10 | 630 |