Least Common Multiple (LCM) of 118 and 149
The least common multiple (LCM) of 118 and 149 is 17582.
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 118 and 149?
First, calculate the GCD of 118 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 149 = 0 remainder 118 |
| 2 | 149 ÷ 118 = 1 remainder 31 |
| 3 | 118 ÷ 31 = 3 remainder 25 |
| 4 | 31 ÷ 25 = 1 remainder 6 |
| 5 | 25 ÷ 6 = 4 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 162 | 12474 |
| 127 and 102 | 12954 |
| 17 and 67 | 1139 |
| 32 and 118 | 1888 |
| 85 and 148 | 12580 |