Least Common Multiple (LCM) of 84 and 151
The least common multiple (LCM) of 84 and 151 is 12684.
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 151?
First, calculate the GCD of 84 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 151 = 0 remainder 84 |
| 2 | 151 ÷ 84 = 1 remainder 67 |
| 3 | 84 ÷ 67 = 1 remainder 17 |
| 4 | 67 ÷ 17 = 3 remainder 16 |
| 5 | 17 ÷ 16 = 1 remainder 1 |
| 6 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 104 | 520 |
| 14 and 53 | 742 |
| 25 and 17 | 425 |
| 104 and 74 | 3848 |
| 63 and 28 | 252 |