Least Common Multiple (LCM) of 157 and 21
The least common multiple (LCM) of 157 and 21 is 3297.
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 21?
First, calculate the GCD of 157 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 21 = 7 remainder 10 |
| 2 | 21 ÷ 10 = 2 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 24 | 1128 |
| 27 and 91 | 2457 |
| 136 and 132 | 4488 |
| 147 and 65 | 9555 |
| 89 and 69 | 6141 |