Least Common Multiple (LCM) of 154 and 18
The least common multiple (LCM) of 154 and 18 is 1386.
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 18?
First, calculate the GCD of 154 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 18 = 8 remainder 10 |
| 2 | 18 ÷ 10 = 1 remainder 8 |
| 3 | 10 ÷ 8 = 1 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 175 | 5950 |
| 150 and 73 | 10950 |
| 118 and 169 | 19942 |
| 164 and 155 | 25420 |
| 21 and 194 | 4074 |