Least Common Multiple (LCM) of 100 and 29
The least common multiple (LCM) of 100 and 29 is 2900.
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 100 and 29?
First, calculate the GCD of 100 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 29 = 3 remainder 13 |
| 2 | 29 ÷ 13 = 2 remainder 3 |
| 3 | 13 ÷ 3 = 4 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 93 | 5673 |
| 101 and 196 | 19796 |
| 186 and 146 | 13578 |
| 103 and 185 | 19055 |
| 59 and 137 | 8083 |