Least Common Multiple (LCM) of 132 and 53
The least common multiple (LCM) of 132 and 53 is 6996.
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 53?
First, calculate the GCD of 132 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 53 = 2 remainder 26 |
| 2 | 53 ÷ 26 = 2 remainder 1 |
| 3 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 129 | 3225 |
| 186 and 181 | 33666 |
| 143 and 77 | 1001 |
| 154 and 126 | 1386 |
| 21 and 117 | 819 |