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 |
|---|---|
| 186 and 175 | 32550 |
| 156 and 160 | 6240 |
| 183 and 115 | 21045 |
| 50 and 66 | 1650 |
| 13 and 154 | 2002 |