Least Common Multiple (LCM) of 152 and 124
The least common multiple (LCM) of 152 and 124 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 152 and 124?
First, calculate the GCD of 152 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 124 = 1 remainder 28 |
| 2 | 124 ÷ 28 = 4 remainder 12 |
| 3 | 28 ÷ 12 = 2 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 58 | 3712 |
| 40 and 118 | 2360 |
| 199 and 123 | 24477 |
| 36 and 55 | 1980 |
| 59 and 18 | 1062 |