Least Common Multiple (LCM) of 42 and 79
The least common multiple (LCM) of 42 and 79 is 3318.
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 42 and 79?
First, calculate the GCD of 42 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 79 = 0 remainder 42 |
| 2 | 79 ÷ 42 = 1 remainder 37 |
| 3 | 42 ÷ 37 = 1 remainder 5 |
| 4 | 37 ÷ 5 = 7 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 168 | 2856 |
| 187 and 37 | 6919 |
| 86 and 26 | 1118 |
| 144 and 42 | 1008 |
| 48 and 135 | 2160 |