Least Common Multiple (LCM) of 153 and 156
The least common multiple (LCM) of 153 and 156 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 153 and 156?
First, calculate the GCD of 153 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 156 = 0 remainder 153 |
| 2 | 156 ÷ 153 = 1 remainder 3 |
| 3 | 153 ÷ 3 = 51 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 54 | 4320 |
| 16 and 22 | 176 |
| 118 and 173 | 20414 |
| 133 and 144 | 19152 |
| 170 and 109 | 18530 |