Least Common Multiple (LCM) of 119 and 40
The least common multiple (LCM) of 119 and 40 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 119 and 40?
First, calculate the GCD of 119 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 40 = 2 remainder 39 |
| 2 | 40 ÷ 39 = 1 remainder 1 |
| 3 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 126 | 3150 |
| 118 and 102 | 6018 |
| 78 and 113 | 8814 |
| 66 and 93 | 2046 |
| 46 and 130 | 2990 |