
Least Common Multiple (LCM) of 189 and 176
The least common multiple (LCM) of 189 and 176 is 33264.
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 189 and 176?
First, calculate the GCD of 189 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 189 ÷ 176 = 1 remainder 13 |
2 | 176 ÷ 13 = 13 remainder 7 |
3 | 13 ÷ 7 = 1 remainder 6 |
4 | 7 ÷ 6 = 1 remainder 1 |
5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
172 and 200 | 8600 |
26 and 22 | 286 |
37 and 120 | 4440 |
176 and 35 | 6160 |
141 and 35 | 4935 |