
Least Common Multiple (LCM) of 107 and 14
The least common multiple (LCM) of 107 and 14 is 1498.
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 107 and 14?
First, calculate the GCD of 107 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 107 ÷ 14 = 7 remainder 9 |
2 | 14 ÷ 9 = 1 remainder 5 |
3 | 9 ÷ 5 = 1 remainder 4 |
4 | 5 ÷ 4 = 1 remainder 1 |
5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
175 and 127 | 22225 |
109 and 100 | 10900 |
47 and 28 | 1316 |
144 and 199 | 28656 |
166 and 143 | 23738 |