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Least Common Multiple (LCM) of 130 and 114

The least common multiple (LCM) of 130 and 114 is 7410.

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 130 and 114?

First, calculate the GCD of 130 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 130 ÷ 114 = 1 remainder 16
2 114 ÷ 16 = 7 remainder 2
3 16 ÷ 2 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
88 and 1601760
15 and 1362040
34 and 1394726
127 and 465842
98 and 575586

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