Least Common Multiple (LCM) of 157 and 153
The least common multiple (LCM) of 157 and 153 is 24021.
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 153?
First, calculate the GCD of 157 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 153 = 1 remainder 4 |
| 2 | 153 ÷ 4 = 38 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 134 | 18358 |
| 118 and 17 | 2006 |
| 113 and 172 | 19436 |
| 126 and 199 | 25074 |
| 137 and 119 | 16303 |