Least Common Multiple (LCM) of 180 and 152
The least common multiple (LCM) of 180 and 152 is 6840.
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 180 and 152?
First, calculate the GCD of 180 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 152 = 1 remainder 28 |
| 2 | 152 ÷ 28 = 5 remainder 12 |
| 3 | 28 ÷ 12 = 2 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 200 | 600 |
| 194 and 183 | 35502 |
| 121 and 173 | 20933 |
| 134 and 71 | 9514 |
| 47 and 107 | 5029 |