Least Common Multiple (LCM) of 172 and 164
The least common multiple (LCM) of 172 and 164 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 172 and 164?
First, calculate the GCD of 172 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 164 = 1 remainder 8 |
| 2 | 164 ÷ 8 = 20 remainder 4 |
| 3 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 86 | 10234 |
| 172 and 103 | 17716 |
| 57 and 140 | 7980 |
| 35 and 132 | 4620 |
| 110 and 171 | 18810 |