Least Common Multiple (LCM) of 190 and 158
The least common multiple (LCM) of 190 and 158 is 15010.
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 158?
First, calculate the GCD of 190 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 158 = 1 remainder 32 |
| 2 | 158 ÷ 32 = 4 remainder 30 |
| 3 | 32 ÷ 30 = 1 remainder 2 |
| 4 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 100 | 5700 |
| 63 and 65 | 4095 |
| 67 and 157 | 10519 |
| 103 and 115 | 11845 |
| 109 and 127 | 13843 |