Least Common Multiple (LCM) of 60 and 176
The least common multiple (LCM) of 60 and 176 is 2640.
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 176?
First, calculate the GCD of 60 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 176 = 0 remainder 60 |
| 2 | 176 ÷ 60 = 2 remainder 56 |
| 3 | 60 ÷ 56 = 1 remainder 4 |
| 4 | 56 ÷ 4 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 25 | 2825 |
| 41 and 37 | 1517 |
| 129 and 61 | 7869 |
| 109 and 130 | 14170 |
| 46 and 153 | 7038 |