Least Common Multiple (LCM) of 62 and 157
The least common multiple (LCM) of 62 and 157 is 9734.
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 157?
First, calculate the GCD of 62 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 157 = 0 remainder 62 |
| 2 | 157 ÷ 62 = 2 remainder 33 |
| 3 | 62 ÷ 33 = 1 remainder 29 |
| 4 | 33 ÷ 29 = 1 remainder 4 |
| 5 | 29 ÷ 4 = 7 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 180 | 9540 |
| 14 and 64 | 448 |
| 91 and 23 | 2093 |
| 118 and 13 | 1534 |
| 128 and 49 | 6272 |