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Least Common Multiple (LCM) of 199 and 64

The least common multiple (LCM) of 199 and 64 is 12736.

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 199 and 64?

First, calculate the GCD of 199 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 199 ÷ 64 = 3 remainder 7
2 64 ÷ 7 = 9 remainder 1
3 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 979215
71 and 574047
16 and 1292064
120 and 623720
136 and 16611288

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