Least Common Multiple (LCM) of 151 and 191
The least common multiple (LCM) of 151 and 191 is 28841.
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 191?
First, calculate the GCD of 151 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 191 = 0 remainder 151 |
| 2 | 191 ÷ 151 = 1 remainder 40 |
| 3 | 151 ÷ 40 = 3 remainder 31 |
| 4 | 40 ÷ 31 = 1 remainder 9 |
| 5 | 31 ÷ 9 = 3 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 73 | 2774 |
| 44 and 113 | 4972 |
| 78 and 172 | 6708 |
| 187 and 53 | 9911 |
| 21 and 80 | 1680 |