Least Common Multiple (LCM) of 124 and 152
The least common multiple (LCM) of 124 and 152 is 4712.
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 152?
First, calculate the GCD of 124 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 152 = 0 remainder 124 |
| 2 | 152 ÷ 124 = 1 remainder 28 |
| 3 | 124 ÷ 28 = 4 remainder 12 |
| 4 | 28 ÷ 12 = 2 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 21 | 1260 |
| 165 and 174 | 9570 |
| 183 and 97 | 17751 |
| 128 and 92 | 2944 |
| 120 and 93 | 3720 |