Least Common Multiple (LCM) of 157 and 136
The least common multiple (LCM) of 157 and 136 is 21352.
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 136?
First, calculate the GCD of 157 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 136 = 1 remainder 21 |
| 2 | 136 ÷ 21 = 6 remainder 10 |
| 3 | 21 ÷ 10 = 2 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 160 | 8160 |
| 74 and 50 | 1850 |
| 96 and 178 | 8544 |
| 185 and 86 | 15910 |
| 108 and 165 | 5940 |