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Least Common Multiple (LCM) of 110 and 114

The least common multiple (LCM) of 110 and 114 is 6270.

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 110 and 114?

First, calculate the GCD of 110 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 110 ÷ 114 = 0 remainder 110
2 114 ÷ 110 = 1 remainder 4
3 110 ÷ 4 = 27 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
82 and 14912218
197 and 6813396
30 and 100300
126 and 1022142
115 and 451035

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