Least Common Multiple (LCM) of 119 and 68
The least common multiple (LCM) of 119 and 68 is 476.
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 68?
First, calculate the GCD of 119 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 68 = 1 remainder 51 |
| 2 | 68 ÷ 51 = 1 remainder 17 |
| 3 | 51 ÷ 17 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 36 | 1332 |
| 132 and 39 | 1716 |
| 124 and 70 | 4340 |
| 99 and 100 | 9900 |
| 81 and 164 | 13284 |