Least Common Multiple (LCM) of 102 and 151
The least common multiple (LCM) of 102 and 151 is 15402.
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 102 and 151?
First, calculate the GCD of 102 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 151 = 0 remainder 102 |
| 2 | 151 ÷ 102 = 1 remainder 49 |
| 3 | 102 ÷ 49 = 2 remainder 4 |
| 4 | 49 ÷ 4 = 12 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 159 | 14151 |
| 133 and 64 | 8512 |
| 18 and 107 | 1926 |
| 18 and 149 | 2682 |
| 141 and 75 | 3525 |