Least Common Multiple (LCM) of 189 and 151
The least common multiple (LCM) of 189 and 151 is 28539.
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 189 and 151?
First, calculate the GCD of 189 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 151 = 1 remainder 38 |
| 2 | 151 ÷ 38 = 3 remainder 37 |
| 3 | 38 ÷ 37 = 1 remainder 1 |
| 4 | 37 ÷ 1 = 37 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 42 | 5754 |
| 183 and 77 | 14091 |
| 119 and 127 | 15113 |
| 84 and 14 | 84 |
| 65 and 40 | 520 |