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Least Common Multiple (LCM) of 16 and 111

The least common multiple (LCM) of 16 and 111 is 1776.

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 111?

First, calculate the GCD of 16 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 111 = 0 remainder 16
2 111 ÷ 16 = 6 remainder 15
3 16 ÷ 15 = 1 remainder 1
4 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
70 and 1137910
128 and 40640
200 and 683400
184 and 281288
106 and 14742

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