Least Common Multiple (LCM) of 157 and 92
The least common multiple (LCM) of 157 and 92 is 14444.
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 92?
First, calculate the GCD of 157 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 92 = 1 remainder 65 |
| 2 | 92 ÷ 65 = 1 remainder 27 |
| 3 | 65 ÷ 27 = 2 remainder 11 |
| 4 | 27 ÷ 11 = 2 remainder 5 |
| 5 | 11 ÷ 5 = 2 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 80 | 7760 |
| 46 and 79 | 3634 |
| 51 and 151 | 7701 |
| 126 and 123 | 5166 |
| 23 and 25 | 575 |