Least Common Multiple (LCM) of 125 and 153
The least common multiple (LCM) of 125 and 153 is 19125.
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 125 and 153?
First, calculate the GCD of 125 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 153 = 0 remainder 125 |
| 2 | 153 ÷ 125 = 1 remainder 28 |
| 3 | 125 ÷ 28 = 4 remainder 13 |
| 4 | 28 ÷ 13 = 2 remainder 2 |
| 5 | 13 ÷ 2 = 6 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 85 | 340 |
| 93 and 15 | 465 |
| 101 and 152 | 15352 |
| 49 and 200 | 9800 |
| 119 and 39 | 4641 |