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Least Common Multiple (LCM) of 10 and 93

The least common multiple (LCM) of 10 and 93 is 930.

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 10 and 93?

First, calculate the GCD of 10 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 10 ÷ 93 = 0 remainder 10
2 93 ÷ 10 = 9 remainder 3
3 10 ÷ 3 = 3 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 414469
104 and 798216
159 and 271431
190 and 15329070
107 and 282996

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