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Least Common Multiple (LCM) of 38 and 184

The least common multiple (LCM) of 38 and 184 is 3496.

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 38 and 184?

First, calculate the GCD of 38 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 184 = 0 remainder 38
2 184 ÷ 38 = 4 remainder 32
3 38 ÷ 32 = 1 remainder 6
4 32 ÷ 6 = 5 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
176 and 8514960
22 and 1161276
59 and 875133
188 and 643008
198 and 7114058

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