Least Common Multiple (LCM) of 176 and 62
The least common multiple (LCM) of 176 and 62 is 5456.
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 176 and 62?
First, calculate the GCD of 176 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 62 = 2 remainder 52 |
| 2 | 62 ÷ 52 = 1 remainder 10 |
| 3 | 52 ÷ 10 = 5 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 27 | 2781 |
| 101 and 65 | 6565 |
| 88 and 120 | 1320 |
| 54 and 23 | 1242 |
| 16 and 113 | 1808 |