
Least Common Multiple (LCM) of 109 and 41
The least common multiple (LCM) of 109 and 41 is 4469.
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 109 and 41?
First, calculate the GCD of 109 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 109 ÷ 41 = 2 remainder 27 |
2 | 41 ÷ 27 = 1 remainder 14 |
3 | 27 ÷ 14 = 1 remainder 13 |
4 | 14 ÷ 13 = 1 remainder 1 |
5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
13 and 35 | 455 |
151 and 174 | 26274 |
152 and 42 | 3192 |
126 and 134 | 8442 |
43 and 162 | 6966 |