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Least Common Multiple (LCM) of 49 and 38

The least common multiple (LCM) of 49 and 38 is 1862.

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 38?

First, calculate the GCD of 49 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 38 = 1 remainder 11
2 38 ÷ 11 = 3 remainder 5
3 11 ÷ 5 = 2 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
152 and 10760
89 and 8989
80 and 1322640
195 and 112145
46 and 1456670

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