Least Common Multiple (LCM) of 147 and 29
The least common multiple (LCM) of 147 and 29 is 4263.
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 147 and 29?
First, calculate the GCD of 147 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 29 = 5 remainder 2 |
| 2 | 29 ÷ 2 = 14 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 175 | 3150 |
| 39 and 49 | 1911 |
| 76 and 112 | 2128 |
| 193 and 121 | 23353 |
| 196 and 68 | 3332 |