Least Common Multiple (LCM) of 158 and 174
The least common multiple (LCM) of 158 and 174 is 13746.
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 174?
First, calculate the GCD of 158 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 174 = 0 remainder 158 |
| 2 | 174 ÷ 158 = 1 remainder 16 |
| 3 | 158 ÷ 16 = 9 remainder 14 |
| 4 | 16 ÷ 14 = 1 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 54 | 378 |
| 135 and 170 | 4590 |
| 114 and 161 | 18354 |
| 77 and 152 | 11704 |
| 38 and 88 | 1672 |