Least Common Multiple (LCM) of 35 and 125
The least common multiple (LCM) of 35 and 125 is 875.
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 35 and 125?
First, calculate the GCD of 35 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 125 = 0 remainder 35 |
| 2 | 125 ÷ 35 = 3 remainder 20 |
| 3 | 35 ÷ 20 = 1 remainder 15 |
| 4 | 20 ÷ 15 = 1 remainder 5 |
| 5 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 96 | 1824 |
| 36 and 187 | 6732 |
| 35 and 24 | 840 |
| 71 and 136 | 9656 |
| 49 and 73 | 3577 |