Least Common Multiple (LCM) of 79 and 72
The least common multiple (LCM) of 79 and 72 is 5688.
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 72?
First, calculate the GCD of 79 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 72 = 1 remainder 7 |
| 2 | 72 ÷ 7 = 10 remainder 2 |
| 3 | 7 ÷ 2 = 3 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 49 | 5635 |
| 132 and 188 | 6204 |
| 156 and 141 | 7332 |
| 183 and 105 | 6405 |
| 87 and 131 | 11397 |