Least Common Multiple (LCM) of 62 and 79
The least common multiple (LCM) of 62 and 79 is 4898.
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 79?
First, calculate the GCD of 62 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 79 = 0 remainder 62 |
| 2 | 79 ÷ 62 = 1 remainder 17 |
| 3 | 62 ÷ 17 = 3 remainder 11 |
| 4 | 17 ÷ 11 = 1 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 46 | 138 |
| 86 and 48 | 2064 |
| 89 and 144 | 12816 |
| 112 and 40 | 560 |
| 195 and 11 | 2145 |