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Least Common Multiple (LCM) of 34 and 31

The least common multiple (LCM) of 34 and 31 is 1054.

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 34 and 31?

First, calculate the GCD of 34 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 31 = 1 remainder 3
2 31 ÷ 3 = 10 remainder 1
3 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 614453
71 and 161136
38 and 1422698
44 and 1401540
36 and 168504

Try Calculating LCM of Other Numbers







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