
Least Common Multiple (LCM) of 132 and 52
The least common multiple (LCM) of 132 and 52 is 1716.
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 52?
First, calculate the GCD of 132 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 132 ÷ 52 = 2 remainder 28 |
2 | 52 ÷ 28 = 1 remainder 24 |
3 | 28 ÷ 24 = 1 remainder 4 |
4 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
100 and 102 | 5100 |
196 and 114 | 11172 |
129 and 110 | 14190 |
63 and 185 | 11655 |
156 and 45 | 2340 |