
Least Common Multiple (LCM) of 73 and 143
The least common multiple (LCM) of 73 and 143 is 10439.
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 143?
First, calculate the GCD of 73 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 73 ÷ 143 = 0 remainder 73 |
2 | 143 ÷ 73 = 1 remainder 70 |
3 | 73 ÷ 70 = 1 remainder 3 |
4 | 70 ÷ 3 = 23 remainder 1 |
5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
141 and 65 | 9165 |
135 and 153 | 2295 |
183 and 100 | 18300 |
114 and 135 | 5130 |
194 and 90 | 8730 |