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What is the Least Common Multiple of 93989 and 94001?

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 93989 and 94001 is 8835059989.

LCM(93989,94001) = 8835059989

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Least Common Multiple of 93989 and 94001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93989 and 94001, than apply into the LCM equation.

GCF(93989,94001) = 1
LCM(93989,94001) = ( 93989 × 94001) / 1
LCM(93989,94001) = 8835059989 / 1
LCM(93989,94001) = 8835059989

Least Common Multiple (LCM) of 93989 and 94001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93989 and 94001. First we will calculate the prime factors of 93989 and 94001.

Prime Factorization of 93989

Prime factors of 93989 are 7, 29, 463. Prime factorization of 93989 in exponential form is:

93989 = 71 × 291 × 4631

Prime Factorization of 94001

Prime factors of 94001 are 23, 61, 67. Prime factorization of 94001 in exponential form is:

94001 = 231 × 611 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 93989 and 94001.

LCM(93989,94001) = 71 × 291 × 4631 × 231 × 611 × 671
LCM(93989,94001) = 8835059989