Least Common Multiple (LCM) of 156 and 75
The least common multiple (LCM) of 156 and 75 is 3900.
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 156 and 75?
First, calculate the GCD of 156 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 75 = 2 remainder 6 |
| 2 | 75 ÷ 6 = 12 remainder 3 |
| 3 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 122 | 21350 |
| 131 and 161 | 21091 |
| 94 and 75 | 7050 |
| 167 and 151 | 25217 |
| 149 and 191 | 28459 |