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Least Common Multiple (LCM) of 51 and 93

The least common multiple (LCM) of 51 and 93 is 1581.

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 51 and 93?

First, calculate the GCD of 51 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 51 ÷ 93 = 0 remainder 51
2 93 ÷ 51 = 1 remainder 42
3 51 ÷ 42 = 1 remainder 9
4 42 ÷ 9 = 4 remainder 6
5 9 ÷ 6 = 1 remainder 3
6 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
72 and 863096
64 and 1825824
64 and 44704
80 and 15712560
44 and 1302860

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