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Least Common Multiple (LCM) of 50 and 49

The least common multiple (LCM) of 50 and 49 is 2450.

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 50 and 49?

First, calculate the GCD of 50 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 50 ÷ 49 = 1 remainder 1
2 49 ÷ 1 = 49 remainder 0

Examples of LCM Calculations

NumbersLCM
74 and 916734
130 and 1026630
179 and 13924881
121 and 799559
61 and 18111041

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