Least Common Multiple (LCM) of 158 and 172
The least common multiple (LCM) of 158 and 172 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 158 and 172?
First, calculate the GCD of 158 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 172 = 0 remainder 158 |
| 2 | 172 ÷ 158 = 1 remainder 14 |
| 3 | 158 ÷ 14 = 11 remainder 4 |
| 4 | 14 ÷ 4 = 3 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 130 | 12870 |
| 171 and 126 | 2394 |
| 21 and 83 | 1743 |
| 132 and 116 | 3828 |
| 129 and 125 | 16125 |