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 |
|---|---|
| 164 and 72 | 2952 |
| 135 and 131 | 17685 |
| 88 and 164 | 3608 |
| 53 and 83 | 4399 |
| 45 and 28 | 1260 |