Least Common Multiple (LCM) of 172 and 158
The least common multiple (LCM) of 172 and 158 is 13588.
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 172 and 158?
First, calculate the GCD of 172 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 158 = 1 remainder 14 |
| 2 | 158 ÷ 14 = 11 remainder 4 |
| 3 | 14 ÷ 4 = 3 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 175 | 350 |
| 116 and 31 | 3596 |
| 114 and 49 | 5586 |
| 57 and 169 | 9633 |
| 138 and 173 | 23874 |