Least Common Multiple (LCM) of 156 and 153
The least common multiple (LCM) of 156 and 153 is 7956.
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 153?
First, calculate the GCD of 156 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 153 = 1 remainder 3 |
| 2 | 153 ÷ 3 = 51 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 34 | 1530 |
| 165 and 178 | 29370 |
| 193 and 35 | 6755 |
| 23 and 175 | 4025 |
| 123 and 63 | 2583 |