Least Common Multiple (LCM) of 36 and 175
The least common multiple (LCM) of 36 and 175 is 6300.
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 36 and 175?
First, calculate the GCD of 36 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 175 = 0 remainder 36 |
| 2 | 175 ÷ 36 = 4 remainder 31 |
| 3 | 36 ÷ 31 = 1 remainder 5 |
| 4 | 31 ÷ 5 = 6 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 142 | 13206 |
| 26 and 60 | 780 |
| 183 and 139 | 25437 |
| 149 and 176 | 26224 |
| 172 and 149 | 25628 |