Least Common Multiple (LCM) of 79 and 54
The least common multiple (LCM) of 79 and 54 is 4266.
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 54?
First, calculate the GCD of 79 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 54 = 1 remainder 25 |
| 2 | 54 ÷ 25 = 2 remainder 4 |
| 3 | 25 ÷ 4 = 6 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 144 | 1584 |
| 129 and 181 | 23349 |
| 186 and 124 | 372 |
| 115 and 161 | 805 |
| 152 and 27 | 4104 |