Least Common Multiple (LCM) of 153 and 154
The least common multiple (LCM) of 153 and 154 is 23562.
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 153 and 154?
First, calculate the GCD of 153 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 154 = 0 remainder 153 |
| 2 | 154 ÷ 153 = 1 remainder 1 |
| 3 | 153 ÷ 1 = 153 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 196 | 34692 |
| 75 and 31 | 2325 |
| 163 and 25 | 4075 |
| 92 and 83 | 7636 |
| 158 and 74 | 5846 |