Least Common Multiple (LCM) of 149 and 101
The least common multiple (LCM) of 149 and 101 is 15049.
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 149 and 101?
First, calculate the GCD of 149 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 101 = 1 remainder 48 |
| 2 | 101 ÷ 48 = 2 remainder 5 |
| 3 | 48 ÷ 5 = 9 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 31 | 2697 |
| 140 and 175 | 700 |
| 124 and 72 | 2232 |
| 148 and 74 | 148 |
| 140 and 57 | 7980 |