Least Common Multiple (LCM) of 179 and 63
The least common multiple (LCM) of 179 and 63 is 11277.
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 63?
First, calculate the GCD of 179 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 63 = 2 remainder 53 |
| 2 | 63 ÷ 53 = 1 remainder 10 |
| 3 | 53 ÷ 10 = 5 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 48 | 1680 |
| 135 and 195 | 1755 |
| 74 and 167 | 12358 |
| 102 and 109 | 11118 |
| 44 and 28 | 308 |