Least Common Multiple (LCM) of 172 and 62
The least common multiple (LCM) of 172 and 62 is 5332.
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 62?
First, calculate the GCD of 172 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 62 = 2 remainder 48 |
| 2 | 62 ÷ 48 = 1 remainder 14 |
| 3 | 48 ÷ 14 = 3 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 144 | 7632 |
| 145 and 54 | 7830 |
| 128 and 28 | 896 |
| 44 and 70 | 1540 |
| 71 and 133 | 9443 |