Least Common Multiple (LCM) of 175 and 156
The least common multiple (LCM) of 175 and 156 is 27300.
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 175 and 156?
First, calculate the GCD of 175 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 156 = 1 remainder 19 |
| 2 | 156 ÷ 19 = 8 remainder 4 |
| 3 | 19 ÷ 4 = 4 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 134 | 10050 |
| 106 and 200 | 10600 |
| 26 and 181 | 4706 |
| 132 and 80 | 2640 |
| 25 and 154 | 3850 |