Least Common Multiple (LCM) of 60 and 152
The least common multiple (LCM) of 60 and 152 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 60 and 152?
First, calculate the GCD of 60 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 152 = 0 remainder 60 |
| 2 | 152 ÷ 60 = 2 remainder 32 |
| 3 | 60 ÷ 32 = 1 remainder 28 |
| 4 | 32 ÷ 28 = 1 remainder 4 |
| 5 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 65 | 3770 |
| 83 and 190 | 15770 |
| 16 and 13 | 208 |
| 123 and 35 | 4305 |
| 187 and 86 | 16082 |