
Least Common Multiple (LCM) of 114 and 143
The least common multiple (LCM) of 114 and 143 is 16302.
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 114 and 143?
First, calculate the GCD of 114 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 114 ÷ 143 = 0 remainder 114 |
2 | 143 ÷ 114 = 1 remainder 29 |
3 | 114 ÷ 29 = 3 remainder 27 |
4 | 29 ÷ 27 = 1 remainder 2 |
5 | 27 ÷ 2 = 13 remainder 1 |
6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
109 and 51 | 5559 |
128 and 144 | 1152 |
152 and 17 | 2584 |
66 and 30 | 330 |
169 and 177 | 29913 |