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Least Common Multiple (LCM) of 198 and 170

The least common multiple (LCM) of 198 and 170 is 16830.

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 198 and 170?

First, calculate the GCD of 198 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 198 ÷ 170 = 1 remainder 28
2 170 ÷ 28 = 6 remainder 2
3 28 ÷ 2 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 10016700
106 and 1387314
127 and 19024130
93 and 13912927
194 and 9318042

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