Least Common Multiple (LCM) of 62 and 60
The least common multiple (LCM) of 62 and 60 is 1860.
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 62 and 60?
First, calculate the GCD of 62 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 60 = 1 remainder 2 |
| 2 | 60 ÷ 2 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 193 | 19686 |
| 185 and 16 | 2960 |
| 184 and 57 | 10488 |
| 80 and 117 | 9360 |
| 167 and 54 | 9018 |