
Least Common Multiple (LCM) of 198 and 40
The least common multiple (LCM) of 198 and 40 is 3960.
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 198 and 40?
First, calculate the GCD of 198 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 198 ÷ 40 = 4 remainder 38 |
2 | 40 ÷ 38 = 1 remainder 2 |
3 | 38 ÷ 2 = 19 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
169 and 149 | 25181 |
111 and 179 | 19869 |
78 and 112 | 4368 |
148 and 178 | 13172 |
154 and 35 | 770 |