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Least Common Multiple (LCM) of 78 and 94

The least common multiple (LCM) of 78 and 94 is 3666.

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 78 and 94?

First, calculate the GCD of 78 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 94 = 0 remainder 78
2 94 ÷ 78 = 1 remainder 16
3 78 ÷ 16 = 4 remainder 14
4 16 ÷ 14 = 1 remainder 2
5 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
166 and 705810
69 and 14910281
58 and 1418178
175 and 19934825
96 and 1294128

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