Least Common Multiple (LCM) of 136 and 153
The least common multiple (LCM) of 136 and 153 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 136 and 153?
First, calculate the GCD of 136 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 153 = 0 remainder 136 |
| 2 | 153 ÷ 136 = 1 remainder 17 |
| 3 | 136 ÷ 17 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 135 | 1350 |
| 108 and 71 | 7668 |
| 176 and 131 | 23056 |
| 143 and 94 | 13442 |
| 10 and 190 | 190 |