
Least Common Multiple (LCM) of 196 and 99
The least common multiple (LCM) of 196 and 99 is 19404.
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 196 and 99?
First, calculate the GCD of 196 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 196 ÷ 99 = 1 remainder 97 |
2 | 99 ÷ 97 = 1 remainder 2 |
3 | 97 ÷ 2 = 48 remainder 1 |
4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
10 and 37 | 370 |
116 and 51 | 5916 |
119 and 159 | 18921 |
25 and 148 | 3700 |
47 and 55 | 2585 |