Least Common Multiple (LCM) of 172 and 44
The least common multiple (LCM) of 172 and 44 is 1892.
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 172 and 44?
First, calculate the GCD of 172 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 44 = 3 remainder 40 |
| 2 | 44 ÷ 40 = 1 remainder 4 |
| 3 | 40 ÷ 4 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 35 | 1330 |
| 178 and 128 | 11392 |
| 126 and 142 | 8946 |
| 172 and 191 | 32852 |
| 129 and 99 | 4257 |