Least Common Multiple (LCM) of 140 and 136
The least common multiple (LCM) of 140 and 136 is 4760.
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 140 and 136?
First, calculate the GCD of 140 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 136 = 1 remainder 4 |
| 2 | 136 ÷ 4 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 176 | 29392 |
| 135 and 132 | 5940 |
| 122 and 105 | 12810 |
| 151 and 56 | 8456 |
| 78 and 123 | 3198 |