Least Common Multiple (LCM) of 174 and 153
The least common multiple (LCM) of 174 and 153 is 8874.
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 153?
First, calculate the GCD of 174 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 153 = 1 remainder 21 |
| 2 | 153 ÷ 21 = 7 remainder 6 |
| 3 | 21 ÷ 6 = 3 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 108 | 1404 |
| 131 and 100 | 13100 |
| 160 and 127 | 20320 |
| 37 and 34 | 1258 |
| 75 and 169 | 12675 |