Least Common Multiple (LCM) of 70 and 124
The least common multiple (LCM) of 70 and 124 is 4340.
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 70 and 124?
First, calculate the GCD of 70 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 124 = 0 remainder 70 |
| 2 | 124 ÷ 70 = 1 remainder 54 |
| 3 | 70 ÷ 54 = 1 remainder 16 |
| 4 | 54 ÷ 16 = 3 remainder 6 |
| 5 | 16 ÷ 6 = 2 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 104 | 1872 |
| 199 and 126 | 25074 |
| 41 and 39 | 1599 |
| 126 and 127 | 16002 |
| 100 and 83 | 8300 |