Least Common Multiple (LCM) of 119 and 64
The least common multiple (LCM) of 119 and 64 is 7616.
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 64?
First, calculate the GCD of 119 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 64 = 1 remainder 55 |
| 2 | 64 ÷ 55 = 1 remainder 9 |
| 3 | 55 ÷ 9 = 6 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 83 | 1909 |
| 127 and 39 | 4953 |
| 140 and 97 | 13580 |
| 136 and 53 | 7208 |
| 136 and 61 | 8296 |