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What is the Least Common Multiple of 94438 and 94443?

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 94438 and 94443 is 8919008034.

LCM(94438,94443) = 8919008034

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Least Common Multiple of 94438 and 94443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94438 and 94443, than apply into the LCM equation.

GCF(94438,94443) = 1
LCM(94438,94443) = ( 94438 × 94443) / 1
LCM(94438,94443) = 8919008034 / 1
LCM(94438,94443) = 8919008034

Least Common Multiple (LCM) of 94438 and 94443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94438 and 94443. First we will calculate the prime factors of 94438 and 94443.

Prime Factorization of 94438

Prime factors of 94438 are 2, 23, 2053. Prime factorization of 94438 in exponential form is:

94438 = 21 × 231 × 20531

Prime Factorization of 94443

Prime factors of 94443 are 3, 31481. Prime factorization of 94443 in exponential form is:

94443 = 31 × 314811

Now multiplying the highest exponent prime factors to calculate the LCM of 94438 and 94443.

LCM(94438,94443) = 21 × 231 × 20531 × 31 × 314811
LCM(94438,94443) = 8919008034