Least Common Multiple (LCM) of 57 and 152
The least common multiple (LCM) of 57 and 152 is 456.
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 57 and 152?
First, calculate the GCD of 57 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 152 = 0 remainder 57 |
| 2 | 152 ÷ 57 = 2 remainder 38 |
| 3 | 57 ÷ 38 = 1 remainder 19 |
| 4 | 38 ÷ 19 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 111 | 22089 |
| 70 and 199 | 13930 |
| 132 and 103 | 13596 |
| 157 and 54 | 8478 |
| 20 and 111 | 2220 |