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Least Common Multiple (LCM) of 49 and 163

The least common multiple (LCM) of 49 and 163 is 7987.

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 49 and 163?

First, calculate the GCD of 49 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 163 = 0 remainder 49
2 163 ÷ 49 = 3 remainder 16
3 49 ÷ 16 = 3 remainder 1
4 16 ÷ 1 = 16 remainder 0

Examples of LCM Calculations

NumbersLCM
140 and 13919460
155 and 11117205
112 and 96672
119 and 10011900
149 and 10115049

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