Least Common Multiple (LCM) of 138 and 88
The least common multiple (LCM) of 138 and 88 is 6072.
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 138 and 88?
First, calculate the GCD of 138 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 88 = 1 remainder 50 |
| 2 | 88 ÷ 50 = 1 remainder 38 |
| 3 | 50 ÷ 38 = 1 remainder 12 |
| 4 | 38 ÷ 12 = 3 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 171 | 23256 |
| 52 and 75 | 3900 |
| 11 and 38 | 418 |
| 51 and 69 | 1173 |
| 90 and 123 | 3690 |