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Least Common Multiple (LCM) of 49 and 65

The least common multiple (LCM) of 49 and 65 is 3185.

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 65?

First, calculate the GCD of 49 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 65 = 0 remainder 49
2 65 ÷ 49 = 1 remainder 16
3 49 ÷ 16 = 3 remainder 1
4 16 ÷ 1 = 16 remainder 0

Examples of LCM Calculations

NumbersLCM
96 and 353360
70 and 191330
124 and 1805580
38 and 813078
57 and 1957

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