Least Common Multiple (LCM) of 92 and 60
The least common multiple (LCM) of 92 and 60 is 1380.
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 92 and 60?
First, calculate the GCD of 92 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 60 = 1 remainder 32 |
| 2 | 60 ÷ 32 = 1 remainder 28 |
| 3 | 32 ÷ 28 = 1 remainder 4 |
| 4 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 15 | 795 |
| 12 and 47 | 564 |
| 40 and 175 | 1400 |
| 128 and 37 | 4736 |
| 121 and 105 | 12705 |