Least Common Multiple (LCM) of 172 and 36
The least common multiple (LCM) of 172 and 36 is 1548.
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 36?
First, calculate the GCD of 172 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 36 = 4 remainder 28 |
| 2 | 36 ÷ 28 = 1 remainder 8 |
| 3 | 28 ÷ 8 = 3 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 48 | 1488 |
| 23 and 61 | 1403 |
| 92 and 74 | 3404 |
| 192 and 13 | 2496 |
| 128 and 110 | 7040 |