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Least Common Multiple (LCM) of 30 and 190

The least common multiple (LCM) of 30 and 190 is 570.

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 30 and 190?

First, calculate the GCD of 30 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 30 ÷ 190 = 0 remainder 30
2 190 ÷ 30 = 6 remainder 10
3 30 ÷ 10 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
101 and 10911009
86 and 582494
63 and 1559765
134 and 503350
173 and 19333389

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