Least Common Multiple (LCM) of 107 and 153
The least common multiple (LCM) of 107 and 153 is 16371.
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 107 and 153?
First, calculate the GCD of 107 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 153 = 0 remainder 107 |
| 2 | 153 ÷ 107 = 1 remainder 46 |
| 3 | 107 ÷ 46 = 2 remainder 15 |
| 4 | 46 ÷ 15 = 3 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 184 | 13064 |
| 156 and 140 | 5460 |
| 136 and 133 | 18088 |
| 92 and 41 | 3772 |
| 179 and 198 | 35442 |