Least Common Multiple (LCM) of 79 and 176
The least common multiple (LCM) of 79 and 176 is 13904.
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 79 and 176?
First, calculate the GCD of 79 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 176 = 0 remainder 79 |
| 2 | 176 ÷ 79 = 2 remainder 18 |
| 3 | 79 ÷ 18 = 4 remainder 7 |
| 4 | 18 ÷ 7 = 2 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 63 | 6489 |
| 44 and 61 | 2684 |
| 137 and 140 | 19180 |
| 119 and 129 | 15351 |
| 143 and 179 | 25597 |