Least Common Multiple (LCM) of 172 and 156
The least common multiple (LCM) of 172 and 156 is 6708.
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 156?
First, calculate the GCD of 172 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 156 = 1 remainder 16 |
| 2 | 156 ÷ 16 = 9 remainder 12 |
| 3 | 16 ÷ 12 = 1 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 68 | 5372 |
| 130 and 198 | 12870 |
| 138 and 170 | 11730 |
| 136 and 24 | 408 |
| 18 and 67 | 1206 |