Least Common Multiple (LCM) of 53 and 158
The least common multiple (LCM) of 53 and 158 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 53 and 158?
First, calculate the GCD of 53 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 53 ÷ 158 = 0 remainder 53 |
| 2 | 158 ÷ 53 = 2 remainder 52 |
| 3 | 53 ÷ 52 = 1 remainder 1 |
| 4 | 52 ÷ 1 = 52 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 157 | 3297 |
| 154 and 197 | 30338 |
| 68 and 116 | 1972 |
| 129 and 28 | 3612 |
| 13 and 118 | 1534 |