Least Common Multiple (LCM) of 69 and 79
The least common multiple (LCM) of 69 and 79 is 5451.
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 69 and 79?
First, calculate the GCD of 69 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 79 = 0 remainder 69 |
| 2 | 79 ÷ 69 = 1 remainder 10 |
| 3 | 69 ÷ 10 = 6 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 72 | 13752 |
| 68 and 56 | 952 |
| 126 and 108 | 756 |
| 101 and 50 | 5050 |
| 146 and 108 | 7884 |