Least Common Multiple (LCM) of 60 and 173
The least common multiple (LCM) of 60 and 173 is 10380.
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 173?
First, calculate the GCD of 60 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 173 = 0 remainder 60 |
| 2 | 173 ÷ 60 = 2 remainder 53 |
| 3 | 60 ÷ 53 = 1 remainder 7 |
| 4 | 53 ÷ 7 = 7 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 148 | 444 |
| 192 and 157 | 30144 |
| 141 and 61 | 8601 |
| 54 and 121 | 6534 |
| 141 and 136 | 19176 |