Least Common Multiple (LCM) of 175 and 151
The least common multiple (LCM) of 175 and 151 is 26425.
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 175 and 151?
First, calculate the GCD of 175 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 151 = 1 remainder 24 |
| 2 | 151 ÷ 24 = 6 remainder 7 |
| 3 | 24 ÷ 7 = 3 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 109 | 17222 |
| 61 and 28 | 1708 |
| 15 and 50 | 150 |
| 199 and 185 | 36815 |
| 119 and 187 | 1309 |