Least Common Multiple (LCM) of 136 and 88
The least common multiple (LCM) of 136 and 88 is 1496.
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 88?
First, calculate the GCD of 136 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 88 = 1 remainder 48 |
| 2 | 88 ÷ 48 = 1 remainder 40 |
| 3 | 48 ÷ 40 = 1 remainder 8 |
| 4 | 40 ÷ 8 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 156 | 2340 |
| 56 and 27 | 1512 |
| 39 and 57 | 741 |
| 26 and 151 | 3926 |
| 112 and 96 | 672 |