Least Common Multiple (LCM) of 101 and 46
The least common multiple (LCM) of 101 and 46 is 4646.
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 46?
First, calculate the GCD of 101 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 46 = 2 remainder 9 |
| 2 | 46 ÷ 9 = 5 remainder 1 |
| 3 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 131 | 18078 |
| 145 and 198 | 28710 |
| 67 and 80 | 5360 |
| 29 and 63 | 1827 |
| 66 and 111 | 2442 |