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Least Common Multiple (LCM) of 68 and 168

The least common multiple (LCM) of 68 and 168 is 2856.

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 68 and 168?

First, calculate the GCD of 68 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 168 = 0 remainder 68
2 168 ÷ 68 = 2 remainder 32
3 68 ÷ 32 = 2 remainder 4
4 32 ÷ 4 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
118 and 9711446
41 and 1385658
140 and 15922260
181 and 223982
65 and 1087020

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