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Least Common Multiple (LCM) of 68 and 52

The least common multiple (LCM) of 68 and 52 is 884.

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 68 and 52?

First, calculate the GCD of 68 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 52 = 1 remainder 16
2 52 ÷ 16 = 3 remainder 4
3 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 556160
16 and 50400
194 and 11010670
174 and 948178
192 and 343264

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