Least Common Multiple (LCM) of 147 and 101
The least common multiple (LCM) of 147 and 101 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 147 and 101?
First, calculate the GCD of 147 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 101 = 1 remainder 46 |
| 2 | 101 ÷ 46 = 2 remainder 9 |
| 3 | 46 ÷ 9 = 5 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 107 | 12198 |
| 163 and 152 | 24776 |
| 114 and 116 | 6612 |
| 130 and 77 | 10010 |
| 180 and 144 | 720 |