Least Common Multiple (LCM) of 182 and 60
The least common multiple (LCM) of 182 and 60 is 5460.
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 182 and 60?
First, calculate the GCD of 182 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 60 = 3 remainder 2 |
| 2 | 60 ÷ 2 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 21 | 525 |
| 116 and 121 | 14036 |
| 108 and 165 | 5940 |
| 134 and 120 | 8040 |
| 69 and 152 | 10488 |