Least Common Multiple (LCM) of 60 and 73
The least common multiple (LCM) of 60 and 73 is 4380.
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 73?
First, calculate the GCD of 60 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 73 = 0 remainder 60 |
| 2 | 73 ÷ 60 = 1 remainder 13 |
| 3 | 60 ÷ 13 = 4 remainder 8 |
| 4 | 13 ÷ 8 = 1 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 132 | 15708 |
| 103 and 110 | 11330 |
| 196 and 38 | 3724 |
| 138 and 109 | 15042 |
| 115 and 45 | 1035 |