Least Common Multiple (LCM) of 151 and 170
The least common multiple (LCM) of 151 and 170 is 25670.
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 170?
First, calculate the GCD of 151 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 170 = 0 remainder 151 |
| 2 | 170 ÷ 151 = 1 remainder 19 |
| 3 | 151 ÷ 19 = 7 remainder 18 |
| 4 | 19 ÷ 18 = 1 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 186 | 9114 |
| 85 and 180 | 3060 |
| 120 and 41 | 4920 |
| 51 and 130 | 6630 |
| 109 and 116 | 12644 |