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Least Common Multiple (LCM) of 31 and 26

The least common multiple (LCM) of 31 and 26 is 806.

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 31 and 26?

First, calculate the GCD of 31 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 31 ÷ 26 = 1 remainder 5
2 26 ÷ 5 = 5 remainder 1
3 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 18632550
102 and 1896426
138 and 745106
110 and 12660
32 and 1775664

Try Calculating LCM of Other Numbers







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