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What is the Least Common Multiple of 6078 and 6085?

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 6078 and 6085 is 36984630.

LCM(6078,6085) = 36984630

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Least Common Multiple of 6078 and 6085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6078 and 6085, than apply into the LCM equation.

GCF(6078,6085) = 1
LCM(6078,6085) = ( 6078 × 6085) / 1
LCM(6078,6085) = 36984630 / 1
LCM(6078,6085) = 36984630

Least Common Multiple (LCM) of 6078 and 6085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6078 and 6085. First we will calculate the prime factors of 6078 and 6085.

Prime Factorization of 6078

Prime factors of 6078 are 2, 3, 1013. Prime factorization of 6078 in exponential form is:

6078 = 21 × 31 × 10131

Prime Factorization of 6085

Prime factors of 6085 are 5, 1217. Prime factorization of 6085 in exponential form is:

6085 = 51 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 6078 and 6085.

LCM(6078,6085) = 21 × 31 × 10131 × 51 × 12171
LCM(6078,6085) = 36984630