Least Common Multiple (LCM) of 132 and 68
The least common multiple (LCM) of 132 and 68 is 2244.
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 68?
First, calculate the GCD of 132 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 68 = 1 remainder 64 |
| 2 | 68 ÷ 64 = 1 remainder 4 |
| 3 | 64 ÷ 4 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 93 | 9579 |
| 104 and 44 | 1144 |
| 97 and 56 | 5432 |
| 140 and 97 | 13580 |
| 159 and 75 | 3975 |