Least Common Multiple (LCM) of 151 and 173
The least common multiple (LCM) of 151 and 173 is 26123.
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 173?
First, calculate the GCD of 151 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 173 = 0 remainder 151 |
| 2 | 173 ÷ 151 = 1 remainder 22 |
| 3 | 151 ÷ 22 = 6 remainder 19 |
| 4 | 22 ÷ 19 = 1 remainder 3 |
| 5 | 19 ÷ 3 = 6 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 144 | 2448 |
| 72 and 143 | 10296 |
| 179 and 60 | 10740 |
| 77 and 78 | 6006 |
| 59 and 109 | 6431 |