Least Common Multiple (LCM) of 150 and 132
The least common multiple (LCM) of 150 and 132 is 3300.
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 150 and 132?
First, calculate the GCD of 150 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 132 = 1 remainder 18 |
| 2 | 132 ÷ 18 = 7 remainder 6 |
| 3 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 190 | 14630 |
| 75 and 182 | 13650 |
| 145 and 139 | 20155 |
| 153 and 170 | 1530 |
| 108 and 165 | 5940 |