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What is the Least Common Multiple of 31131 and 31139?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 31131 and 31139 is 969388209.

LCM(31131,31139) = 969388209

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Least Common Multiple of 31131 and 31139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31131 and 31139, than apply into the LCM equation.

GCF(31131,31139) = 1
LCM(31131,31139) = ( 31131 × 31139) / 1
LCM(31131,31139) = 969388209 / 1
LCM(31131,31139) = 969388209

Least Common Multiple (LCM) of 31131 and 31139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31131 and 31139. First we will calculate the prime factors of 31131 and 31139.

Prime Factorization of 31131

Prime factors of 31131 are 3, 1153. Prime factorization of 31131 in exponential form is:

31131 = 33 × 11531

Prime Factorization of 31139

Prime factors of 31139 are 31139. Prime factorization of 31139 in exponential form is:

31139 = 311391

Now multiplying the highest exponent prime factors to calculate the LCM of 31131 and 31139.

LCM(31131,31139) = 33 × 11531 × 311391
LCM(31131,31139) = 969388209