Least Common Multiple (LCM) of 147 and 79
The least common multiple (LCM) of 147 and 79 is 11613.
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 147 and 79?
First, calculate the GCD of 147 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 79 = 1 remainder 68 |
| 2 | 79 ÷ 68 = 1 remainder 11 |
| 3 | 68 ÷ 11 = 6 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 117 | 8892 |
| 101 and 190 | 19190 |
| 100 and 140 | 700 |
| 98 and 184 | 9016 |
| 177 and 47 | 8319 |