
Least Common Multiple (LCM) of 132 and 133
The least common multiple (LCM) of 132 and 133 is 17556.
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 132 and 133?
First, calculate the GCD of 132 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 132 ÷ 133 = 0 remainder 132 |
2 | 133 ÷ 132 = 1 remainder 1 |
3 | 132 ÷ 1 = 132 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
49 and 105 | 735 |
94 and 41 | 3854 |
33 and 27 | 297 |
28 and 20 | 140 |
139 and 66 | 9174 |