Least Common Multiple (LCM) of 164 and 132
The least common multiple (LCM) of 164 and 132 is 5412.
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 164 and 132?
First, calculate the GCD of 164 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 132 = 1 remainder 32 |
| 2 | 132 ÷ 32 = 4 remainder 4 |
| 3 | 32 ÷ 4 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 105 | 3990 |
| 124 and 96 | 2976 |
| 136 and 114 | 7752 |
| 174 and 200 | 17400 |
| 174 and 176 | 15312 |