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 |
|---|---|
| 117 and 179 | 20943 |
| 143 and 154 | 2002 |
| 108 and 12 | 108 |
| 112 and 96 | 672 |
| 166 and 146 | 12118 |