Least Common Multiple (LCM) of 120 and 93
The least common multiple (LCM) of 120 and 93 is 3720.
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 120 and 93?
First, calculate the GCD of 120 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 93 = 1 remainder 27 |
| 2 | 93 ÷ 27 = 3 remainder 12 |
| 3 | 27 ÷ 12 = 2 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 173 | 24566 |
| 166 and 68 | 5644 |
| 138 and 55 | 7590 |
| 159 and 126 | 6678 |
| 72 and 164 | 2952 |