Least Common Multiple (LCM) of 190 and 93
The least common multiple (LCM) of 190 and 93 is 17670.
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 190 and 93?
First, calculate the GCD of 190 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 93 = 2 remainder 4 |
| 2 | 93 ÷ 4 = 23 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 57 | 7809 |
| 111 and 132 | 4884 |
| 136 and 38 | 2584 |
| 45 and 86 | 3870 |
| 140 and 102 | 7140 |