Least Common Multiple (LCM) of 179 and 37
The least common multiple (LCM) of 179 and 37 is 6623.
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 179 and 37?
First, calculate the GCD of 179 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 37 = 4 remainder 31 |
| 2 | 37 ÷ 31 = 1 remainder 6 |
| 3 | 31 ÷ 6 = 5 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 82 | 2460 |
| 151 and 43 | 6493 |
| 199 and 180 | 35820 |
| 135 and 129 | 5805 |
| 57 and 32 | 1824 |