Least Common Multiple (LCM) of 120 and 119
The least common multiple (LCM) of 120 and 119 is 14280.
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 120 and 119?
First, calculate the GCD of 120 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 119 = 1 remainder 1 |
| 2 | 119 ÷ 1 = 119 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 13 | 1001 |
| 62 and 104 | 3224 |
| 33 and 187 | 561 |
| 41 and 167 | 6847 |
| 28 and 80 | 560 |