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Least Common Multiple (LCM) of 39 and 200

The least common multiple (LCM) of 39 and 200 is 7800.

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 39 and 200?

First, calculate the GCD of 39 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 39 ÷ 200 = 0 remainder 39
2 200 ÷ 39 = 5 remainder 5
3 39 ÷ 5 = 7 remainder 4
4 5 ÷ 4 = 1 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
160 and 1956240
79 and 17814062
145 and 451305
186 and 444092
141 and 14921009

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