
Least Common Multiple (LCM) of 13 and 97
The least common multiple (LCM) of 13 and 97 is 1261.
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 13 and 97?
First, calculate the GCD of 13 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 13 ÷ 97 = 0 remainder 13 |
2 | 97 ÷ 13 = 7 remainder 6 |
3 | 13 ÷ 6 = 2 remainder 1 |
4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
198 and 186 | 6138 |
16 and 148 | 592 |
113 and 18 | 2034 |
52 and 88 | 1144 |
36 and 68 | 612 |