Least Common Multiple (LCM) of 15 and 88
The least common multiple (LCM) of 15 and 88 is 1320.
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 15 and 88?
First, calculate the GCD of 15 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 15 ÷ 88 = 0 remainder 15 |
| 2 | 88 ÷ 15 = 5 remainder 13 |
| 3 | 15 ÷ 13 = 1 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 126 | 9954 |
| 10 and 63 | 630 |
| 115 and 152 | 17480 |
| 20 and 115 | 460 |
| 129 and 62 | 7998 |