Least Common Multiple (LCM) of 158 and 53
The least common multiple (LCM) of 158 and 53 is 8374.
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 158 and 53?
First, calculate the GCD of 158 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 53 = 2 remainder 52 |
| 2 | 53 ÷ 52 = 1 remainder 1 |
| 3 | 52 ÷ 1 = 52 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 52 | 3900 |
| 110 and 89 | 9790 |
| 31 and 181 | 5611 |
| 185 and 183 | 33855 |
| 105 and 138 | 4830 |