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Least Common Multiple (LCM) of 170 and 84

The least common multiple (LCM) of 170 and 84 is 7140.

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 170 and 84?

First, calculate the GCD of 170 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 170 ÷ 84 = 2 remainder 2
2 84 ÷ 2 = 42 remainder 0

Examples of LCM Calculations

NumbersLCM
33 and 1886204
158 and 1048216
179 and 17731683
136 and 14719992
127 and 10212954

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