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What is the Least Common Multiple of 67131 and 67139?

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 67131 and 67139 is 4507108209.

LCM(67131,67139) = 4507108209

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Least Common Multiple of 67131 and 67139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67131 and 67139, than apply into the LCM equation.

GCF(67131,67139) = 1
LCM(67131,67139) = ( 67131 × 67139) / 1
LCM(67131,67139) = 4507108209 / 1
LCM(67131,67139) = 4507108209

Least Common Multiple (LCM) of 67131 and 67139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67131 and 67139. First we will calculate the prime factors of 67131 and 67139.

Prime Factorization of 67131

Prime factors of 67131 are 3, 7459. Prime factorization of 67131 in exponential form is:

67131 = 32 × 74591

Prime Factorization of 67139

Prime factors of 67139 are 67139. Prime factorization of 67139 in exponential form is:

67139 = 671391

Now multiplying the highest exponent prime factors to calculate the LCM of 67131 and 67139.

LCM(67131,67139) = 32 × 74591 × 671391
LCM(67131,67139) = 4507108209