Least Common Multiple (LCM) of 120 and 124
The least common multiple (LCM) of 120 and 124 is 3720.
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 120 and 124?
First, calculate the GCD of 120 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 124 = 0 remainder 120 |
| 2 | 124 ÷ 120 = 1 remainder 4 |
| 3 | 120 ÷ 4 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 155 | 17205 |
| 61 and 182 | 11102 |
| 116 and 90 | 5220 |
| 22 and 160 | 1760 |
| 184 and 174 | 16008 |