Least Common Multiple (LCM) of 124 and 151
The least common multiple (LCM) of 124 and 151 is 18724.
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 151?
First, calculate the GCD of 124 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 151 = 0 remainder 124 |
| 2 | 151 ÷ 124 = 1 remainder 27 |
| 3 | 124 ÷ 27 = 4 remainder 16 |
| 4 | 27 ÷ 16 = 1 remainder 11 |
| 5 | 16 ÷ 11 = 1 remainder 5 |
| 6 | 11 ÷ 5 = 2 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 126 | 630 |
| 81 and 83 | 6723 |
| 135 and 159 | 7155 |
| 88 and 100 | 2200 |
| 41 and 142 | 5822 |