Least Common Multiple (LCM) of 140 and 91
The least common multiple (LCM) of 140 and 91 is 1820.
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 91?
First, calculate the GCD of 140 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 91 = 1 remainder 49 |
| 2 | 91 ÷ 49 = 1 remainder 42 |
| 3 | 49 ÷ 42 = 1 remainder 7 |
| 4 | 42 ÷ 7 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 117 | 9945 |
| 117 and 119 | 13923 |
| 137 and 57 | 7809 |
| 65 and 22 | 1430 |
| 137 and 166 | 22742 |