Least Common Multiple (LCM) of 152 and 57
The least common multiple (LCM) of 152 and 57 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 152 and 57?
First, calculate the GCD of 152 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 57 = 2 remainder 38 |
| 2 | 57 ÷ 38 = 1 remainder 19 |
| 3 | 38 ÷ 19 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 195 | 8385 |
| 93 and 103 | 9579 |
| 116 and 120 | 3480 |
| 49 and 40 | 1960 |
| 132 and 162 | 3564 |