Least Common Multiple (LCM) of 173 and 70
The least common multiple (LCM) of 173 and 70 is 12110.
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 70?
First, calculate the GCD of 173 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 70 = 2 remainder 33 |
| 2 | 70 ÷ 33 = 2 remainder 4 |
| 3 | 33 ÷ 4 = 8 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 149 | 18774 |
| 180 and 68 | 3060 |
| 190 and 118 | 11210 |
| 57 and 152 | 456 |
| 154 and 38 | 2926 |