
Least Common Multiple (LCM) of 57 and 12
The least common multiple (LCM) of 57 and 12 is 228.
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 57 and 12?
First, calculate the GCD of 57 and 12 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 57 ÷ 12 = 4 remainder 9 |
2 | 12 ÷ 9 = 1 remainder 3 |
3 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
154 and 81 | 12474 |
183 and 12 | 732 |
102 and 23 | 2346 |
136 and 133 | 18088 |
160 and 61 | 9760 |