Least Common Multiple (LCM) of 151 and 96
The least common multiple (LCM) of 151 and 96 is 14496.
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 151 and 96?
First, calculate the GCD of 151 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 96 = 1 remainder 55 |
| 2 | 96 ÷ 55 = 1 remainder 41 |
| 3 | 55 ÷ 41 = 1 remainder 14 |
| 4 | 41 ÷ 14 = 2 remainder 13 |
| 5 | 14 ÷ 13 = 1 remainder 1 |
| 6 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 34 | 6766 |
| 125 and 56 | 7000 |
| 22 and 86 | 946 |
| 132 and 189 | 8316 |
| 115 and 128 | 14720 |