Least Common Multiple (LCM) of 73 and 76
The least common multiple (LCM) of 73 and 76 is 5548.
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 73 and 76?
First, calculate the GCD of 73 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 76 = 0 remainder 73 |
| 2 | 76 ÷ 73 = 1 remainder 3 |
| 3 | 73 ÷ 3 = 24 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 107 | 17013 |
| 158 and 59 | 9322 |
| 46 and 89 | 4094 |
| 140 and 139 | 19460 |
| 153 and 74 | 11322 |