Least Common Multiple (LCM) of 164 and 172
The least common multiple (LCM) of 164 and 172 is 7052.
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 164 and 172?
First, calculate the GCD of 164 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 172 = 0 remainder 164 |
| 2 | 172 ÷ 164 = 1 remainder 8 |
| 3 | 164 ÷ 8 = 20 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 166 | 16600 |
| 94 and 125 | 11750 |
| 133 and 73 | 9709 |
| 17 and 105 | 1785 |
| 104 and 103 | 10712 |