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 |
|---|---|
| 150 and 75 | 150 |
| 86 and 49 | 4214 |
| 39 and 52 | 156 |
| 98 and 112 | 784 |
| 97 and 35 | 3395 |