Least Common Multiple (LCM) of 101 and 60
The least common multiple (LCM) of 101 and 60 is 6060.
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 101 and 60?
First, calculate the GCD of 101 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 60 = 1 remainder 41 |
| 2 | 60 ÷ 41 = 1 remainder 19 |
| 3 | 41 ÷ 19 = 2 remainder 3 |
| 4 | 19 ÷ 3 = 6 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 58 | 3828 |
| 20 and 117 | 2340 |
| 27 and 139 | 3753 |
| 198 and 79 | 15642 |
| 160 and 75 | 2400 |