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What is the Least Common Multiple of 94842 and 94852?

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 94842 and 94852 is 4497976692.

LCM(94842,94852) = 4497976692

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Least Common Multiple of 94842 and 94852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94842 and 94852, than apply into the LCM equation.

GCF(94842,94852) = 2
LCM(94842,94852) = ( 94842 × 94852) / 2
LCM(94842,94852) = 8995953384 / 2
LCM(94842,94852) = 4497976692

Least Common Multiple (LCM) of 94842 and 94852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94842 and 94852. First we will calculate the prime factors of 94842 and 94852.

Prime Factorization of 94842

Prime factors of 94842 are 2, 3, 11, 479. Prime factorization of 94842 in exponential form is:

94842 = 21 × 32 × 111 × 4791

Prime Factorization of 94852

Prime factors of 94852 are 2, 23, 1031. Prime factorization of 94852 in exponential form is:

94852 = 22 × 231 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 94842 and 94852.

LCM(94842,94852) = 22 × 32 × 111 × 4791 × 231 × 10311
LCM(94842,94852) = 4497976692