Least Common Multiple (LCM) of 158 and 69
The least common multiple (LCM) of 158 and 69 is 10902.
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 69?
First, calculate the GCD of 158 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 69 = 2 remainder 20 |
| 2 | 69 ÷ 20 = 3 remainder 9 |
| 3 | 20 ÷ 9 = 2 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 128 | 5760 |
| 130 and 183 | 23790 |
| 93 and 200 | 18600 |
| 173 and 179 | 30967 |
| 137 and 88 | 12056 |