Least Common Multiple (LCM) of 174 and 36
The least common multiple (LCM) of 174 and 36 is 1044.
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 174 and 36?
First, calculate the GCD of 174 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 36 = 4 remainder 30 |
| 2 | 36 ÷ 30 = 1 remainder 6 |
| 3 | 30 ÷ 6 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 65 | 10335 |
| 145 and 115 | 3335 |
| 53 and 176 | 9328 |
| 63 and 86 | 5418 |
| 75 and 50 | 150 |