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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
92 and 1667636
122 and 221342
59 and 824838
68 and 453060
47 and 1426674

Try Calculating LCM of Other Numbers







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