Least Common Multiple (LCM) of 677 and 952
The least common multiple (LCM) of 677 and 952 is 644504.
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 677 and 952?
First, calculate the GCD of 677 and 952 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 677 ÷ 952 = 0 remainder 677 |
| 2 | 952 ÷ 677 = 1 remainder 275 |
| 3 | 677 ÷ 275 = 2 remainder 127 |
| 4 | 275 ÷ 127 = 2 remainder 21 |
| 5 | 127 ÷ 21 = 6 remainder 1 |
| 6 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 185 | 5180 |
| 146 and 153 | 22338 |
| 25 and 21 | 525 |
| 93 and 21 | 651 |
| 31 and 90 | 2790 |