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What is the Least Common Multiple of 94083 and 94103?

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 94083 and 94103 is 8853492549.

LCM(94083,94103) = 8853492549

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Least Common Multiple of 94083 and 94103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94083 and 94103, than apply into the LCM equation.

GCF(94083,94103) = 1
LCM(94083,94103) = ( 94083 × 94103) / 1
LCM(94083,94103) = 8853492549 / 1
LCM(94083,94103) = 8853492549

Least Common Multiple (LCM) of 94083 and 94103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94083 and 94103. First we will calculate the prime factors of 94083 and 94103.

Prime Factorization of 94083

Prime factors of 94083 are 3, 11, 2851. Prime factorization of 94083 in exponential form is:

94083 = 31 × 111 × 28511

Prime Factorization of 94103

Prime factors of 94103 are 139, 677. Prime factorization of 94103 in exponential form is:

94103 = 1391 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 94083 and 94103.

LCM(94083,94103) = 31 × 111 × 28511 × 1391 × 6771
LCM(94083,94103) = 8853492549