Least Common Multiple (LCM) of 77 and 73
The least common multiple (LCM) of 77 and 73 is 5621.
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 77 and 73?
First, calculate the GCD of 77 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 73 = 1 remainder 4 |
| 2 | 73 ÷ 4 = 18 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 158 | 158 |
| 178 and 143 | 25454 |
| 157 and 50 | 7850 |
| 193 and 21 | 4053 |
| 32 and 101 | 3232 |