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Least Common Multiple (LCM) of 49 and 74

The least common multiple (LCM) of 49 and 74 is 3626.

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 74?

First, calculate the GCD of 49 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 74 = 0 remainder 49
2 74 ÷ 49 = 1 remainder 25
3 49 ÷ 25 = 1 remainder 24
4 25 ÷ 24 = 1 remainder 1
5 24 ÷ 1 = 24 remainder 0

Examples of LCM Calculations

NumbersLCM
55 and 633465
176 and 437568
108 and 1123024
134 and 785226
75 and 644800

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