
Least Common Multiple (LCM) of 128 and 73
The least common multiple (LCM) of 128 and 73 is 9344.
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 128 and 73?
First, calculate the GCD of 128 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 128 ÷ 73 = 1 remainder 55 |
2 | 73 ÷ 55 = 1 remainder 18 |
3 | 55 ÷ 18 = 3 remainder 1 |
4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
103 and 47 | 4841 |
97 and 184 | 17848 |
147 and 168 | 1176 |
114 and 22 | 1254 |
179 and 25 | 4475 |