
Least Common Multiple (LCM) of 73 and 133
The least common multiple (LCM) of 73 and 133 is 9709.
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 133?
First, calculate the GCD of 73 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 73 ÷ 133 = 0 remainder 73 |
2 | 133 ÷ 73 = 1 remainder 60 |
3 | 73 ÷ 60 = 1 remainder 13 |
4 | 60 ÷ 13 = 4 remainder 8 |
5 | 13 ÷ 8 = 1 remainder 5 |
6 | 8 ÷ 5 = 1 remainder 3 |
7 | 5 ÷ 3 = 1 remainder 2 |
8 | 3 ÷ 2 = 1 remainder 1 |
9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
167 and 83 | 13861 |
98 and 75 | 7350 |
152 and 82 | 6232 |
151 and 52 | 7852 |
40 and 18 | 360 |