Least Common Multiple (LCM) of 29 and 79
The least common multiple (LCM) of 29 and 79 is 2291.
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 29 and 79?
First, calculate the GCD of 29 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 79 = 0 remainder 29 |
| 2 | 79 ÷ 29 = 2 remainder 21 |
| 3 | 29 ÷ 21 = 1 remainder 8 |
| 4 | 21 ÷ 8 = 2 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 77 | 12320 |
| 73 and 176 | 12848 |
| 19 and 55 | 1045 |
| 19 and 153 | 2907 |
| 131 and 89 | 11659 |