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Least Common Multiple (LCM) of 114 and 17

The least common multiple (LCM) of 114 and 17 is 1938.

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 114 and 17?

First, calculate the GCD of 114 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 114 ÷ 17 = 6 remainder 12
2 17 ÷ 12 = 1 remainder 5
3 12 ÷ 5 = 2 remainder 2
4 5 ÷ 2 = 2 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
28 and 108756
109 and 798611
51 and 522652
85 and 423570
136 and 334488

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