Least Common Multiple (LCM) of 157 and 12
The least common multiple (LCM) of 157 and 12 is 1884.
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 12?
First, calculate the GCD of 157 and 12 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 12 = 13 remainder 1 |
| 2 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 21 | 1386 |
| 60 and 96 | 480 |
| 63 and 77 | 693 |
| 125 and 143 | 17875 |
| 108 and 93 | 3348 |