Least Common Multiple (LCM) of 190 and 157
The least common multiple (LCM) of 190 and 157 is 29830.
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 157?
First, calculate the GCD of 190 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 157 = 1 remainder 33 |
| 2 | 157 ÷ 33 = 4 remainder 25 |
| 3 | 33 ÷ 25 = 1 remainder 8 |
| 4 | 25 ÷ 8 = 3 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 108 | 3132 |
| 57 and 159 | 3021 |
| 112 and 182 | 1456 |
| 46 and 151 | 6946 |
| 109 and 85 | 9265 |