Least Common Multiple (LCM) of 154 and 85
The least common multiple (LCM) of 154 and 85 is 13090.
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 85?
First, calculate the GCD of 154 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 85 = 1 remainder 69 |
| 2 | 85 ÷ 69 = 1 remainder 16 |
| 3 | 69 ÷ 16 = 4 remainder 5 |
| 4 | 16 ÷ 5 = 3 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 98 | 15974 |
| 45 and 146 | 6570 |
| 11 and 150 | 1650 |
| 80 and 109 | 8720 |
| 67 and 45 | 3015 |