
Least Common Multiple (LCM) of 57 and 160
The least common multiple (LCM) of 57 and 160 is 9120.
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 160?
First, calculate the GCD of 57 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 57 ÷ 160 = 0 remainder 57 |
2 | 160 ÷ 57 = 2 remainder 46 |
3 | 57 ÷ 46 = 1 remainder 11 |
4 | 46 ÷ 11 = 4 remainder 2 |
5 | 11 ÷ 2 = 5 remainder 1 |
6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
188 and 20 | 940 |
198 and 122 | 12078 |
180 and 40 | 360 |
181 and 81 | 14661 |
157 and 180 | 28260 |