
Least Common Multiple (LCM) of 29 and 14
The least common multiple (LCM) of 29 and 14 is 406.
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 29 and 14?
First, calculate the GCD of 29 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 29 ÷ 14 = 2 remainder 1 |
2 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
106 and 177 | 18762 |
146 and 78 | 5694 |
132 and 79 | 10428 |
152 and 123 | 18696 |
197 and 101 | 19897 |