Least Common Multiple (LCM) of 60 and 44
The least common multiple (LCM) of 60 and 44 is 660.
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 44?
First, calculate the GCD of 60 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 44 = 1 remainder 16 |
| 2 | 44 ÷ 16 = 2 remainder 12 |
| 3 | 16 ÷ 12 = 1 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 60 | 2220 |
| 147 and 142 | 20874 |
| 119 and 151 | 17969 |
| 198 and 95 | 18810 |
| 100 and 101 | 10100 |