Least Common Multiple (LCM) of 101 and 147
The least common multiple (LCM) of 101 and 147 is 14847.
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 101 and 147?
First, calculate the GCD of 101 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 147 = 0 remainder 101 |
| 2 | 147 ÷ 101 = 1 remainder 46 |
| 3 | 101 ÷ 46 = 2 remainder 9 |
| 4 | 46 ÷ 9 = 5 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 103 | 13905 |
| 84 and 200 | 4200 |
| 37 and 145 | 5365 |
| 25 and 163 | 4075 |
| 192 and 108 | 1728 |