Least Common Multiple (LCM) of 152 and 133
The least common multiple (LCM) of 152 and 133 is 1064.
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 152 and 133?
First, calculate the GCD of 152 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 133 = 1 remainder 19 |
| 2 | 133 ÷ 19 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 114 | 18582 |
| 45 and 163 | 7335 |
| 130 and 130 | 130 |
| 111 and 115 | 12765 |
| 162 and 77 | 12474 |