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 |
|---|---|
| 184 and 92 | 184 |
| 134 and 73 | 9782 |
| 159 and 27 | 1431 |
| 31 and 123 | 3813 |
| 193 and 129 | 24897 |