
Least Common Multiple (LCM) of 197 and 88
The least common multiple (LCM) of 197 and 88 is 17336.
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 197 and 88?
First, calculate the GCD of 197 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 197 ÷ 88 = 2 remainder 21 |
2 | 88 ÷ 21 = 4 remainder 4 |
3 | 21 ÷ 4 = 5 remainder 1 |
4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
31 and 140 | 4340 |
69 and 168 | 3864 |
169 and 124 | 20956 |
49 and 59 | 2891 |
145 and 177 | 25665 |