Least Common Multiple (LCM) of 136 and 46
The least common multiple (LCM) of 136 and 46 is 3128.
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 46?
First, calculate the GCD of 136 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 46 = 2 remainder 44 |
| 2 | 46 ÷ 44 = 1 remainder 2 |
| 3 | 44 ÷ 2 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 114 | 4560 |
| 36 and 22 | 396 |
| 109 and 88 | 9592 |
| 155 and 172 | 26660 |
| 155 and 112 | 17360 |