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Least Common Multiple (LCM) of 19 and 200

The least common multiple (LCM) of 19 and 200 is 3800.

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 19 and 200?

First, calculate the GCD of 19 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 19 ÷ 200 = 0 remainder 19
2 200 ÷ 19 = 10 remainder 10
3 19 ÷ 10 = 1 remainder 9
4 10 ÷ 9 = 1 remainder 1
5 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 12722225
28 and 861204
132 and 8310956
47 and 1095123
34 and 18306

Try Calculating LCM of Other Numbers







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