Least Common Multiple (LCM) of 151 and 102
The least common multiple (LCM) of 151 and 102 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 151 and 102?
First, calculate the GCD of 151 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 102 = 1 remainder 49 |
| 2 | 102 ÷ 49 = 2 remainder 4 |
| 3 | 49 ÷ 4 = 12 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 140 | 420 |
| 75 and 82 | 6150 |
| 188 and 170 | 15980 |
| 58 and 93 | 5394 |
| 178 and 84 | 7476 |