
Least Common Multiple (LCM) of 113 and 181
The least common multiple (LCM) of 113 and 181 is 20453.
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 113 and 181?
First, calculate the GCD of 113 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 113 ÷ 181 = 0 remainder 113 |
2 | 181 ÷ 113 = 1 remainder 68 |
3 | 113 ÷ 68 = 1 remainder 45 |
4 | 68 ÷ 45 = 1 remainder 23 |
5 | 45 ÷ 23 = 1 remainder 22 |
6 | 23 ÷ 22 = 1 remainder 1 |
7 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
29 and 67 | 1943 |
96 and 111 | 3552 |
166 and 117 | 19422 |
198 and 144 | 1584 |
139 and 119 | 16541 |