Least Common Multiple (LCM) of 136 and 164
The least common multiple (LCM) of 136 and 164 is 5576.
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 164?
First, calculate the GCD of 136 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 164 = 0 remainder 136 |
| 2 | 164 ÷ 136 = 1 remainder 28 |
| 3 | 136 ÷ 28 = 4 remainder 24 |
| 4 | 28 ÷ 24 = 1 remainder 4 |
| 5 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 130 | 6370 |
| 75 and 171 | 4275 |
| 157 and 132 | 20724 |
| 90 and 191 | 17190 |
| 84 and 120 | 840 |