Least Common Multiple (LCM) of 185 and 152
The least common multiple (LCM) of 185 and 152 is 28120.
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 185 and 152?
First, calculate the GCD of 185 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 152 = 1 remainder 33 |
| 2 | 152 ÷ 33 = 4 remainder 20 |
| 3 | 33 ÷ 20 = 1 remainder 13 |
| 4 | 20 ÷ 13 = 1 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 70 | 2870 |
| 143 and 193 | 27599 |
| 52 and 114 | 2964 |
| 64 and 154 | 4928 |
| 129 and 23 | 2967 |