Least Common Multiple (LCM) of 62 and 172
The least common multiple (LCM) of 62 and 172 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 62 and 172?
First, calculate the GCD of 62 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 172 = 0 remainder 62 |
| 2 | 172 ÷ 62 = 2 remainder 48 |
| 3 | 62 ÷ 48 = 1 remainder 14 |
| 4 | 48 ÷ 14 = 3 remainder 6 |
| 5 | 14 ÷ 6 = 2 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 18 | 1602 |
| 36 and 17 | 612 |
| 127 and 56 | 7112 |
| 118 and 30 | 1770 |
| 128 and 162 | 10368 |