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What is the Least Common Multiple of 93998 and 94016?

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 93998 and 94016 is 4418657984.

LCM(93998,94016) = 4418657984

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Least Common Multiple of 93998 and 94016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93998 and 94016, than apply into the LCM equation.

GCF(93998,94016) = 2
LCM(93998,94016) = ( 93998 × 94016) / 2
LCM(93998,94016) = 8837315968 / 2
LCM(93998,94016) = 4418657984

Least Common Multiple (LCM) of 93998 and 94016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93998 and 94016. First we will calculate the prime factors of 93998 and 94016.

Prime Factorization of 93998

Prime factors of 93998 are 2, 43, 1093. Prime factorization of 93998 in exponential form is:

93998 = 21 × 431 × 10931

Prime Factorization of 94016

Prime factors of 94016 are 2, 13, 113. Prime factorization of 94016 in exponential form is:

94016 = 26 × 131 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 93998 and 94016.

LCM(93998,94016) = 26 × 431 × 10931 × 131 × 1131
LCM(93998,94016) = 4418657984