Least Common Multiple (LCM) of 124 and 186
The least common multiple (LCM) of 124 and 186 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 186?
First, calculate the GCD of 124 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 186 = 0 remainder 124 |
| 2 | 186 ÷ 124 = 1 remainder 62 |
| 3 | 124 ÷ 62 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 119 | 13209 |
| 181 and 147 | 26607 |
| 146 and 43 | 6278 |
| 103 and 37 | 3811 |
| 102 and 195 | 6630 |