Least Common Multiple (LCM) of 84 and 195
The least common multiple (LCM) of 84 and 195 is 5460.
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 84 and 195?
First, calculate the GCD of 84 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 195 = 0 remainder 84 |
| 2 | 195 ÷ 84 = 2 remainder 27 |
| 3 | 84 ÷ 27 = 3 remainder 3 |
| 4 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 111 | 1443 |
| 195 and 64 | 12480 |
| 182 and 114 | 10374 |
| 118 and 94 | 5546 |
| 51 and 157 | 8007 |