Least Common Multiple (LCM) of 174 and 88
The least common multiple (LCM) of 174 and 88 is 7656.
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 88?
First, calculate the GCD of 174 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 88 = 1 remainder 86 |
| 2 | 88 ÷ 86 = 1 remainder 2 |
| 3 | 86 ÷ 2 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 69 | 828 |
| 103 and 170 | 17510 |
| 79 and 185 | 14615 |
| 93 and 88 | 8184 |
| 17 and 61 | 1037 |