Least Common Multiple (LCM) of 124 and 160
The least common multiple (LCM) of 124 and 160 is 4960.
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 160?
First, calculate the GCD of 124 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 160 = 0 remainder 124 |
| 2 | 160 ÷ 124 = 1 remainder 36 |
| 3 | 124 ÷ 36 = 3 remainder 16 |
| 4 | 36 ÷ 16 = 2 remainder 4 |
| 5 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 56 | 1400 |
| 163 and 45 | 7335 |
| 14 and 37 | 518 |
| 159 and 140 | 22260 |
| 176 and 155 | 27280 |