Least Common Multiple (LCM) of 151 and 190
The least common multiple (LCM) of 151 and 190 is 28690.
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 190?
First, calculate the GCD of 151 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 190 = 0 remainder 151 |
| 2 | 190 ÷ 151 = 1 remainder 39 |
| 3 | 151 ÷ 39 = 3 remainder 34 |
| 4 | 39 ÷ 34 = 1 remainder 5 |
| 5 | 34 ÷ 5 = 6 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 123 | 23370 |
| 167 and 77 | 12859 |
| 140 and 76 | 2660 |
| 103 and 110 | 11330 |
| 117 and 29 | 3393 |