Least Common Multiple (LCM) of 150 and 99
The least common multiple (LCM) of 150 and 99 is 4950.
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 99?
First, calculate the GCD of 150 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 99 = 1 remainder 51 |
| 2 | 99 ÷ 51 = 1 remainder 48 |
| 3 | 51 ÷ 48 = 1 remainder 3 |
| 4 | 48 ÷ 3 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 158 | 10428 |
| 135 and 156 | 7020 |
| 162 and 148 | 11988 |
| 126 and 160 | 10080 |
| 83 and 111 | 9213 |