Least Common Multiple (LCM) of 60 and 94
The least common multiple (LCM) of 60 and 94 is 2820.
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 94?
First, calculate the GCD of 60 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 94 = 0 remainder 60 |
| 2 | 94 ÷ 60 = 1 remainder 34 |
| 3 | 60 ÷ 34 = 1 remainder 26 |
| 4 | 34 ÷ 26 = 1 remainder 8 |
| 5 | 26 ÷ 8 = 3 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 77 | 231 |
| 114 and 66 | 1254 |
| 174 and 72 | 2088 |
| 40 and 14 | 280 |
| 98 and 54 | 2646 |