Least Common Multiple (LCM) of 152 and 143
The least common multiple (LCM) of 152 and 143 is 21736.
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 152 and 143?
First, calculate the GCD of 152 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 143 = 1 remainder 9 |
| 2 | 143 ÷ 9 = 15 remainder 8 |
| 3 | 9 ÷ 8 = 1 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 178 | 19046 |
| 138 and 177 | 8142 |
| 32 and 162 | 2592 |
| 107 and 123 | 13161 |
| 15 and 121 | 1815 |