Least Common Multiple (LCM) of 149 and 88
The least common multiple (LCM) of 149 and 88 is 13112.
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 88?
First, calculate the GCD of 149 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 88 = 1 remainder 61 |
| 2 | 88 ÷ 61 = 1 remainder 27 |
| 3 | 61 ÷ 27 = 2 remainder 7 |
| 4 | 27 ÷ 7 = 3 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 122 | 7930 |
| 128 and 42 | 2688 |
| 95 and 82 | 7790 |
| 190 and 110 | 2090 |
| 112 and 36 | 1008 |