Least Common Multiple (LCM) of 157 and 62
The least common multiple (LCM) of 157 and 62 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 157 and 62?
First, calculate the GCD of 157 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 62 = 2 remainder 33 |
| 2 | 62 ÷ 33 = 1 remainder 29 |
| 3 | 33 ÷ 29 = 1 remainder 4 |
| 4 | 29 ÷ 4 = 7 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 70 | 560 |
| 130 and 22 | 1430 |
| 112 and 99 | 11088 |
| 41 and 183 | 7503 |
| 49 and 58 | 2842 |