Least Common Multiple (LCM) of 136 and 51
The least common multiple (LCM) of 136 and 51 is 408.
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 51?
First, calculate the GCD of 136 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 51 = 2 remainder 34 |
| 2 | 51 ÷ 34 = 1 remainder 17 |
| 3 | 34 ÷ 17 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 190 | 34010 |
| 68 and 189 | 12852 |
| 32 and 181 | 5792 |
| 147 and 167 | 24549 |
| 120 and 70 | 840 |