Least Common Multiple (LCM) of 151 and 19
The least common multiple (LCM) of 151 and 19 is 2869.
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 19?
First, calculate the GCD of 151 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 19 = 7 remainder 18 |
| 2 | 19 ÷ 18 = 1 remainder 1 |
| 3 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 84 | 3612 |
| 97 and 44 | 4268 |
| 133 and 47 | 6251 |
| 127 and 106 | 13462 |
| 79 and 118 | 9322 |