Least Common Multiple (LCM) of 102 and 29
The least common multiple (LCM) of 102 and 29 is 2958.
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 102 and 29?
First, calculate the GCD of 102 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 29 = 3 remainder 15 |
| 2 | 29 ÷ 15 = 1 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 81 | 4941 |
| 52 and 174 | 4524 |
| 153 and 141 | 7191 |
| 153 and 134 | 20502 |
| 100 and 49 | 4900 |