Least Common Multiple (LCM) of 151 and 175
The least common multiple (LCM) of 151 and 175 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 151 and 175?
First, calculate the GCD of 151 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 175 = 0 remainder 151 |
| 2 | 175 ÷ 151 = 1 remainder 24 |
| 3 | 151 ÷ 24 = 6 remainder 7 |
| 4 | 24 ÷ 7 = 3 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 190 | 1710 |
| 51 and 151 | 7701 |
| 198 and 55 | 990 |
| 200 and 54 | 5400 |
| 15 and 169 | 2535 |