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Least Common Multiple (LCM) of 194 and 62

The least common multiple (LCM) of 194 and 62 is 6014.

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 194 and 62?

First, calculate the GCD of 194 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 194 ÷ 62 = 3 remainder 8
2 62 ÷ 8 = 7 remainder 6
3 8 ÷ 6 = 1 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
51 and 231173
14 and 134938
151 and 375587
55 and 1246820
131 and 628122

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