Least Common Multiple (LCM) of 124 and 93
The least common multiple (LCM) of 124 and 93 is 372.
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 124 and 93?
First, calculate the GCD of 124 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 93 = 1 remainder 31 |
| 2 | 93 ÷ 31 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 78 | 2106 |
| 50 and 198 | 4950 |
| 35 and 147 | 735 |
| 145 and 26 | 3770 |
| 94 and 29 | 2726 |