
Least Common Multiple (LCM) of 26 and 16
The least common multiple (LCM) of 26 and 16 is 208.
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 26 and 16?
First, calculate the GCD of 26 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 26 ÷ 16 = 1 remainder 10 |
2 | 16 ÷ 10 = 1 remainder 6 |
3 | 10 ÷ 6 = 1 remainder 4 |
4 | 6 ÷ 4 = 1 remainder 2 |
5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
161 and 35 | 805 |
153 and 111 | 5661 |
157 and 189 | 29673 |
36 and 66 | 396 |
66 and 113 | 7458 |