Least Common Multiple (LCM) of 62 and 140
The least common multiple (LCM) of 62 and 140 is 4340.
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 140?
First, calculate the GCD of 62 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 140 = 0 remainder 62 |
| 2 | 140 ÷ 62 = 2 remainder 16 |
| 3 | 62 ÷ 16 = 3 remainder 14 |
| 4 | 16 ÷ 14 = 1 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 52 | 1612 |
| 180 and 70 | 1260 |
| 51 and 32 | 1632 |
| 130 and 190 | 2470 |
| 164 and 100 | 4100 |