
Least Common Multiple (LCM) of 13 and 110
The least common multiple (LCM) of 13 and 110 is 1430.
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 13 and 110?
First, calculate the GCD of 13 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 13 ÷ 110 = 0 remainder 13 |
2 | 110 ÷ 13 = 8 remainder 6 |
3 | 13 ÷ 6 = 2 remainder 1 |
4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
125 and 41 | 5125 |
125 and 109 | 13625 |
50 and 52 | 1300 |
64 and 26 | 832 |
133 and 74 | 9842 |