Least Common Multiple (LCM) of 174 and 152
The least common multiple (LCM) of 174 and 152 is 13224.
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 152?
First, calculate the GCD of 174 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 152 = 1 remainder 22 |
| 2 | 152 ÷ 22 = 6 remainder 20 |
| 3 | 22 ÷ 20 = 1 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 50 | 1850 |
| 154 and 96 | 7392 |
| 177 and 65 | 11505 |
| 50 and 119 | 5950 |
| 193 and 76 | 14668 |