Least Common Multiple (LCM) of 62 and 77
The least common multiple (LCM) of 62 and 77 is 4774.
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 77?
First, calculate the GCD of 62 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 77 = 0 remainder 62 |
| 2 | 77 ÷ 62 = 1 remainder 15 |
| 3 | 62 ÷ 15 = 4 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 147 | 16170 |
| 21 and 170 | 3570 |
| 103 and 97 | 9991 |
| 126 and 52 | 3276 |
| 16 and 80 | 80 |