Least Common Multiple (LCM) of 154 and 188
The least common multiple (LCM) of 154 and 188 is 14476.
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 154 and 188?
First, calculate the GCD of 154 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 188 = 0 remainder 154 |
| 2 | 188 ÷ 154 = 1 remainder 34 |
| 3 | 154 ÷ 34 = 4 remainder 18 |
| 4 | 34 ÷ 18 = 1 remainder 16 |
| 5 | 18 ÷ 16 = 1 remainder 2 |
| 6 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 119 | 7259 |
| 42 and 113 | 4746 |
| 65 and 66 | 4290 |
| 22 and 70 | 770 |
| 130 and 118 | 7670 |