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 |
|---|---|
| 113 and 37 | 4181 |
| 129 and 199 | 25671 |
| 49 and 140 | 980 |
| 193 and 169 | 32617 |
| 140 and 153 | 21420 |