Least Common Multiple (LCM) of 87 and 60
The least common multiple (LCM) of 87 and 60 is 1740.
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 87 and 60?
First, calculate the GCD of 87 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 60 = 1 remainder 27 |
| 2 | 60 ÷ 27 = 2 remainder 6 |
| 3 | 27 ÷ 6 = 4 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 156 | 4836 |
| 137 and 195 | 26715 |
| 104 and 83 | 8632 |
| 172 and 101 | 17372 |
| 160 and 112 | 1120 |