Least Common Multiple (LCM) of 172 and 191
The least common multiple (LCM) of 172 and 191 is 32852.
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 191?
First, calculate the GCD of 172 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 191 = 0 remainder 172 |
| 2 | 191 ÷ 172 = 1 remainder 19 |
| 3 | 172 ÷ 19 = 9 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 141 | 16779 |
| 160 and 157 | 25120 |
| 164 and 85 | 13940 |
| 170 and 53 | 9010 |
| 90 and 128 | 5760 |