Least Common Multiple (LCM) of 140 and 137
The least common multiple (LCM) of 140 and 137 is 19180.
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 137?
First, calculate the GCD of 140 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 137 = 1 remainder 3 |
| 2 | 137 ÷ 3 = 45 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 170 | 9690 |
| 150 and 51 | 2550 |
| 54 and 42 | 378 |
| 138 and 65 | 8970 |
| 149 and 13 | 1937 |