Least Common Multiple (LCM) of 62 and 174
The least common multiple (LCM) of 62 and 174 is 5394.
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 62 and 174?
First, calculate the GCD of 62 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 174 = 0 remainder 62 |
| 2 | 174 ÷ 62 = 2 remainder 50 |
| 3 | 62 ÷ 50 = 1 remainder 12 |
| 4 | 50 ÷ 12 = 4 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 92 | 4876 |
| 66 and 30 | 330 |
| 151 and 67 | 10117 |
| 111 and 100 | 11100 |
| 70 and 180 | 1260 |