
Least Common Multiple (LCM) of 116 and 27
The least common multiple (LCM) of 116 and 27 is 3132.
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 27?
First, calculate the GCD of 116 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 116 ÷ 27 = 4 remainder 8 |
2 | 27 ÷ 8 = 3 remainder 3 |
3 | 8 ÷ 3 = 2 remainder 2 |
4 | 3 ÷ 2 = 1 remainder 1 |
5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
153 and 150 | 7650 |
142 and 16 | 1136 |
71 and 155 | 11005 |
192 and 163 | 31296 |
34 and 157 | 5338 |