Least Common Multiple (LCM) of 191 and 35
The least common multiple (LCM) of 191 and 35 is 6685.
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 191 and 35?
First, calculate the GCD of 191 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 35 = 5 remainder 16 |
| 2 | 35 ÷ 16 = 2 remainder 3 |
| 3 | 16 ÷ 3 = 5 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 64 | 3264 |
| 142 and 114 | 8094 |
| 18 and 15 | 90 |
| 32 and 149 | 4768 |
| 157 and 70 | 10990 |