Least Common Multiple (LCM) of 182 and 172
The least common multiple (LCM) of 182 and 172 is 15652.
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 182 and 172?
First, calculate the GCD of 182 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 172 = 1 remainder 10 |
| 2 | 172 ÷ 10 = 17 remainder 2 |
| 3 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 68 | 10132 |
| 127 and 83 | 10541 |
| 24 and 114 | 456 |
| 190 and 142 | 13490 |
| 137 and 102 | 13974 |