Least Common Multiple (LCM) of 175 and 124
The least common multiple (LCM) of 175 and 124 is 21700.
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 175 and 124?
First, calculate the GCD of 175 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 124 = 1 remainder 51 |
| 2 | 124 ÷ 51 = 2 remainder 22 |
| 3 | 51 ÷ 22 = 2 remainder 7 |
| 4 | 22 ÷ 7 = 3 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 126 | 8442 |
| 26 and 37 | 962 |
| 46 and 180 | 4140 |
| 148 and 75 | 11100 |
| 47 and 67 | 3149 |