Least Common Multiple (LCM) of 53 and 79
The least common multiple (LCM) of 53 and 79 is 4187.
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 53 and 79?
First, calculate the GCD of 53 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 53 ÷ 79 = 0 remainder 53 |
| 2 | 79 ÷ 53 = 1 remainder 26 |
| 3 | 53 ÷ 26 = 2 remainder 1 |
| 4 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 158 | 25122 |
| 71 and 111 | 7881 |
| 146 and 109 | 15914 |
| 166 and 181 | 30046 |
| 71 and 172 | 12212 |