Least Common Multiple (LCM) of 119 and 117
The least common multiple (LCM) of 119 and 117 is 13923.
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 117?
First, calculate the GCD of 119 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 117 = 1 remainder 2 |
| 2 | 117 ÷ 2 = 58 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 44 | 4004 |
| 117 and 68 | 7956 |
| 137 and 52 | 7124 |
| 65 and 117 | 585 |
| 89 and 113 | 10057 |