Least Common Multiple (LCM) of 118 and 157
The least common multiple (LCM) of 118 and 157 is 18526.
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 118 and 157?
First, calculate the GCD of 118 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 157 = 0 remainder 118 |
| 2 | 157 ÷ 118 = 1 remainder 39 |
| 3 | 118 ÷ 39 = 3 remainder 1 |
| 4 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 36 | 1368 |
| 84 and 68 | 1428 |
| 153 and 141 | 7191 |
| 171 and 161 | 27531 |
| 159 and 136 | 21624 |