Least Common Multiple (LCM) of 79 and 136
The least common multiple (LCM) of 79 and 136 is 10744.
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 79 and 136?
First, calculate the GCD of 79 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 136 = 0 remainder 79 |
| 2 | 136 ÷ 79 = 1 remainder 57 |
| 3 | 79 ÷ 57 = 1 remainder 22 |
| 4 | 57 ÷ 22 = 2 remainder 13 |
| 5 | 22 ÷ 13 = 1 remainder 9 |
| 6 | 13 ÷ 9 = 1 remainder 4 |
| 7 | 9 ÷ 4 = 2 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 29 | 406 |
| 164 and 172 | 7052 |
| 11 and 74 | 814 |
| 117 and 52 | 468 |
| 129 and 35 | 4515 |