
Least Common Multiple (LCM) of 192 and 162
The least common multiple (LCM) of 192 and 162 is 5184.
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 192 and 162?
First, calculate the GCD of 192 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 192 ÷ 162 = 1 remainder 30 |
2 | 162 ÷ 30 = 5 remainder 12 |
3 | 30 ÷ 12 = 2 remainder 6 |
4 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
142 and 62 | 4402 |
11 and 171 | 1881 |
111 and 108 | 3996 |
155 and 169 | 26195 |
102 and 93 | 3162 |