Least Common Multiple (LCM) of 157 and 118
The least common multiple (LCM) of 157 and 118 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 157 and 118?
First, calculate the GCD of 157 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 118 = 1 remainder 39 |
| 2 | 118 ÷ 39 = 3 remainder 1 |
| 3 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 79 | 11613 |
| 145 and 169 | 24505 |
| 106 and 147 | 15582 |
| 193 and 182 | 35126 |
| 65 and 66 | 4290 |