Least Common Multiple (LCM) of 174 and 60
The least common multiple (LCM) of 174 and 60 is 1740.
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 60?
First, calculate the GCD of 174 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 60 = 2 remainder 54 |
| 2 | 60 ÷ 54 = 1 remainder 6 |
| 3 | 54 ÷ 6 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 51 | 7548 |
| 156 and 175 | 27300 |
| 189 and 132 | 8316 |
| 164 and 152 | 6232 |
| 187 and 114 | 21318 |