Least Common Multiple (LCM) of 119 and 102
The least common multiple (LCM) of 119 and 102 is 714.
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 102?
First, calculate the GCD of 119 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 102 = 1 remainder 17 |
| 2 | 102 ÷ 17 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 73 | 14381 |
| 109 and 10 | 1090 |
| 65 and 200 | 2600 |
| 64 and 117 | 7488 |
| 180 and 33 | 1980 |