
Least Common Multiple (LCM) of 116 and 169
The least common multiple (LCM) of 116 and 169 is 19604.
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 116 and 169?
First, calculate the GCD of 116 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 116 ÷ 169 = 0 remainder 116 |
2 | 169 ÷ 116 = 1 remainder 53 |
3 | 116 ÷ 53 = 2 remainder 10 |
4 | 53 ÷ 10 = 5 remainder 3 |
5 | 10 ÷ 3 = 3 remainder 1 |
6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
108 and 186 | 3348 |
43 and 184 | 7912 |
128 and 193 | 24704 |
133 and 155 | 20615 |
89 and 116 | 10324 |