Least Common Multiple (LCM) of 79 and 123
The least common multiple (LCM) of 79 and 123 is 9717.
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 123?
First, calculate the GCD of 79 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 123 = 0 remainder 79 |
| 2 | 123 ÷ 79 = 1 remainder 44 |
| 3 | 79 ÷ 44 = 1 remainder 35 |
| 4 | 44 ÷ 35 = 1 remainder 9 |
| 5 | 35 ÷ 9 = 3 remainder 8 |
| 6 | 9 ÷ 8 = 1 remainder 1 |
| 7 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 47 | 5029 |
| 175 and 88 | 15400 |
| 154 and 50 | 3850 |
| 116 and 30 | 1740 |
| 16 and 195 | 3120 |