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Least Common Multiple (LCM) of 41 and 16

The least common multiple (LCM) of 41 and 16 is 656.

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 41 and 16?

First, calculate the GCD of 41 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 41 ÷ 16 = 2 remainder 9
2 16 ÷ 9 = 1 remainder 7
3 9 ÷ 7 = 1 remainder 2
4 7 ÷ 2 = 3 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
82 and 131066
16 and 1781424
152 and 1068056
33 and 1471617
189 and 18134209

Try Calculating LCM of Other Numbers







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