Least Common Multiple (LCM) of 189 and 35
The least common multiple (LCM) of 189 and 35 is 945.
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 35?
First, calculate the GCD of 189 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 35 = 5 remainder 14 |
| 2 | 35 ÷ 14 = 2 remainder 7 |
| 3 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 181 | 30770 |
| 157 and 124 | 19468 |
| 122 and 61 | 122 |
| 139 and 118 | 16402 |
| 121 and 190 | 22990 |