Least Common Multiple (LCM) of 151 and 82
The least common multiple (LCM) of 151 and 82 is 12382.
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 82?
First, calculate the GCD of 151 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 82 = 1 remainder 69 |
| 2 | 82 ÷ 69 = 1 remainder 13 |
| 3 | 69 ÷ 13 = 5 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 52 | 5044 |
| 83 and 110 | 9130 |
| 121 and 62 | 7502 |
| 182 and 31 | 5642 |
| 19 and 58 | 1102 |