Least Common Multiple (LCM) of 88 and 149
The least common multiple (LCM) of 88 and 149 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 88 and 149?
First, calculate the GCD of 88 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 149 = 0 remainder 88 |
| 2 | 149 ÷ 88 = 1 remainder 61 |
| 3 | 88 ÷ 61 = 1 remainder 27 |
| 4 | 61 ÷ 27 = 2 remainder 7 |
| 5 | 27 ÷ 7 = 3 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 84 | 252 |
| 28 and 176 | 1232 |
| 120 and 166 | 9960 |
| 157 and 157 | 157 |
| 124 and 63 | 7812 |