Least Common Multiple (LCM) of 46 and 125
The least common multiple (LCM) of 46 and 125 is 5750.
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 46 and 125?
First, calculate the GCD of 46 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 125 = 0 remainder 46 |
| 2 | 125 ÷ 46 = 2 remainder 33 |
| 3 | 46 ÷ 33 = 1 remainder 13 |
| 4 | 33 ÷ 13 = 2 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 74 | 4736 |
| 177 and 67 | 11859 |
| 178 and 145 | 25810 |
| 32 and 155 | 4960 |
| 29 and 53 | 1537 |