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Least Common Multiple (LCM) of 16 and 57

The least common multiple (LCM) of 16 and 57 is 912.

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 57?

First, calculate the GCD of 16 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 57 = 0 remainder 16
2 57 ÷ 16 = 3 remainder 9
3 16 ÷ 9 = 1 remainder 7
4 9 ÷ 7 = 1 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
17 and 3434
29 and 651885
192 and 72576
125 and 19724625
37 and 1565772

Try Calculating LCM of Other Numbers







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