Least Common Multiple (LCM) of 153 and 95
The least common multiple (LCM) of 153 and 95 is 14535.
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 95?
First, calculate the GCD of 153 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 95 = 1 remainder 58 |
| 2 | 95 ÷ 58 = 1 remainder 37 |
| 3 | 58 ÷ 37 = 1 remainder 21 |
| 4 | 37 ÷ 21 = 1 remainder 16 |
| 5 | 21 ÷ 16 = 1 remainder 5 |
| 6 | 16 ÷ 5 = 3 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 158 | 21646 |
| 73 and 46 | 3358 |
| 146 and 137 | 20002 |
| 157 and 167 | 26219 |
| 189 and 67 | 12663 |