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What is the Least Common Multiple of 93986 and 94004?

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 93986 and 94004 is 4417529972.

LCM(93986,94004) = 4417529972

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Least Common Multiple of 93986 and 94004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93986 and 94004, than apply into the LCM equation.

GCF(93986,94004) = 2
LCM(93986,94004) = ( 93986 × 94004) / 2
LCM(93986,94004) = 8835059944 / 2
LCM(93986,94004) = 4417529972

Least Common Multiple (LCM) of 93986 and 94004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93986 and 94004. First we will calculate the prime factors of 93986 and 94004.

Prime Factorization of 93986

Prime factors of 93986 are 2, 46993. Prime factorization of 93986 in exponential form is:

93986 = 21 × 469931

Prime Factorization of 94004

Prime factors of 94004 are 2, 71, 331. Prime factorization of 94004 in exponential form is:

94004 = 22 × 711 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 93986 and 94004.

LCM(93986,94004) = 22 × 469931 × 711 × 3311
LCM(93986,94004) = 4417529972