Least Common Multiple (LCM) of 136 and 79
The least common multiple (LCM) of 136 and 79 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 136 and 79?
First, calculate the GCD of 136 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 79 = 1 remainder 57 |
| 2 | 79 ÷ 57 = 1 remainder 22 |
| 3 | 57 ÷ 22 = 2 remainder 13 |
| 4 | 22 ÷ 13 = 1 remainder 9 |
| 5 | 13 ÷ 9 = 1 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 189 | 7749 |
| 170 and 96 | 8160 |
| 35 and 46 | 1610 |
| 129 and 145 | 18705 |
| 156 and 190 | 14820 |