
Least Common Multiple (LCM) of 173 and 145
The least common multiple (LCM) of 173 and 145 is 25085.
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 173 and 145?
First, calculate the GCD of 173 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 173 ÷ 145 = 1 remainder 28 |
2 | 145 ÷ 28 = 5 remainder 5 |
3 | 28 ÷ 5 = 5 remainder 3 |
4 | 5 ÷ 3 = 1 remainder 2 |
5 | 3 ÷ 2 = 1 remainder 1 |
6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
59 and 79 | 4661 |
163 and 102 | 16626 |
146 and 135 | 19710 |
187 and 43 | 8041 |
51 and 158 | 8058 |