Least Common Multiple (LCM) of 117 and 79
The least common multiple (LCM) of 117 and 79 is 9243.
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 117 and 79?
First, calculate the GCD of 117 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 79 = 1 remainder 38 |
| 2 | 79 ÷ 38 = 2 remainder 3 |
| 3 | 38 ÷ 3 = 12 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 180 | 3420 |
| 160 and 138 | 11040 |
| 146 and 198 | 14454 |
| 140 and 26 | 1820 |
| 135 and 32 | 4320 |