Least Common Multiple (LCM) of 152 and 60
The least common multiple (LCM) of 152 and 60 is 2280.
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 60?
First, calculate the GCD of 152 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 60 = 2 remainder 32 |
| 2 | 60 ÷ 32 = 1 remainder 28 |
| 3 | 32 ÷ 28 = 1 remainder 4 |
| 4 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 48 | 1968 |
| 69 and 88 | 6072 |
| 161 and 48 | 7728 |
| 101 and 30 | 3030 |
| 57 and 135 | 2565 |