Least Common Multiple (LCM) of 62 and 88
The least common multiple (LCM) of 62 and 88 is 2728.
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 62 and 88?
First, calculate the GCD of 62 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 88 = 0 remainder 62 |
| 2 | 88 ÷ 62 = 1 remainder 26 |
| 3 | 62 ÷ 26 = 2 remainder 10 |
| 4 | 26 ÷ 10 = 2 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 110 | 2530 |
| 76 and 107 | 8132 |
| 182 and 21 | 546 |
| 58 and 126 | 3654 |
| 22 and 159 | 3498 |