Least Common Multiple (LCM) of 151 and 125
The least common multiple (LCM) of 151 and 125 is 18875.
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 151 and 125?
First, calculate the GCD of 151 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 125 = 1 remainder 26 |
| 2 | 125 ÷ 26 = 4 remainder 21 |
| 3 | 26 ÷ 21 = 1 remainder 5 |
| 4 | 21 ÷ 5 = 4 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 59 | 4130 |
| 83 and 123 | 10209 |
| 108 and 139 | 15012 |
| 35 and 100 | 700 |
| 128 and 54 | 3456 |