
Least Common Multiple (LCM) of 16 and 150
The least common multiple (LCM) of 16 and 150 is 1200.
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 16 and 150?
First, calculate the GCD of 16 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 16 ÷ 150 = 0 remainder 16 |
2 | 150 ÷ 16 = 9 remainder 6 |
3 | 16 ÷ 6 = 2 remainder 4 |
4 | 6 ÷ 4 = 1 remainder 2 |
5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
39 and 133 | 5187 |
112 and 63 | 1008 |
68 and 178 | 6052 |
129 and 110 | 14190 |
189 and 140 | 3780 |