Least Common Multiple (LCM) of 72 and 136
The least common multiple (LCM) of 72 and 136 is 1224.
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 72 and 136?
First, calculate the GCD of 72 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 136 = 0 remainder 72 |
| 2 | 136 ÷ 72 = 1 remainder 64 |
| 3 | 72 ÷ 64 = 1 remainder 8 |
| 4 | 64 ÷ 8 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 125 | 6500 |
| 10 and 139 | 1390 |
| 117 and 47 | 5499 |
| 151 and 30 | 4530 |
| 163 and 92 | 14996 |