Least Common Multiple (LCM) of 62 and 91
The least common multiple (LCM) of 62 and 91 is 5642.
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 91?
First, calculate the GCD of 62 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 91 = 0 remainder 62 |
| 2 | 91 ÷ 62 = 1 remainder 29 |
| 3 | 62 ÷ 29 = 2 remainder 4 |
| 4 | 29 ÷ 4 = 7 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 171 | 4446 |
| 128 and 113 | 14464 |
| 198 and 125 | 24750 |
| 168 and 99 | 5544 |
| 58 and 96 | 2784 |