Least Common Multiple (LCM) of 125 and 151
The least common multiple (LCM) of 125 and 151 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 125 and 151?
First, calculate the GCD of 125 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 151 = 0 remainder 125 |
| 2 | 151 ÷ 125 = 1 remainder 26 |
| 3 | 125 ÷ 26 = 4 remainder 21 |
| 4 | 26 ÷ 21 = 1 remainder 5 |
| 5 | 21 ÷ 5 = 4 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 76 | 11324 |
| 20 and 111 | 2220 |
| 95 and 104 | 9880 |
| 68 and 105 | 7140 |
| 146 and 84 | 6132 |