Least Common Multiple (LCM) of 142 and 79
The least common multiple (LCM) of 142 and 79 is 11218.
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 142 and 79?
First, calculate the GCD of 142 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 79 = 1 remainder 63 |
| 2 | 79 ÷ 63 = 1 remainder 16 |
| 3 | 63 ÷ 16 = 3 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 72 | 10296 |
| 184 and 55 | 10120 |
| 39 and 80 | 3120 |
| 169 and 46 | 7774 |
| 145 and 198 | 28710 |