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Least Common Multiple (LCM) of 38 and 186

The least common multiple (LCM) of 38 and 186 is 3534.

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 186?

First, calculate the GCD of 38 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 186 = 0 remainder 38
2 186 ÷ 38 = 4 remainder 34
3 38 ÷ 34 = 1 remainder 4
4 34 ÷ 4 = 8 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
101 and 828282
33 and 121363
78 and 1064134
170 and 11810030
138 and 1657590

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