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Least Common Multiple (LCM) of 190 and 14

The least common multiple (LCM) of 190 and 14 is 1330.

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 190 and 14?

First, calculate the GCD of 190 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 190 ÷ 14 = 13 remainder 8
2 14 ÷ 8 = 1 remainder 6
3 8 ÷ 6 = 1 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 19718715
110 and 18119910
67 and 281876
135 and 12717145
155 and 487440

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