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What is the Least Common Multiple of 93973 and 93984?

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 93973 and 93984 is 802905312.

LCM(93973,93984) = 802905312

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Least Common Multiple of 93973 and 93984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93973 and 93984, than apply into the LCM equation.

GCF(93973,93984) = 11
LCM(93973,93984) = ( 93973 × 93984) / 11
LCM(93973,93984) = 8831958432 / 11
LCM(93973,93984) = 802905312

Least Common Multiple (LCM) of 93973 and 93984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93973 and 93984. First we will calculate the prime factors of 93973 and 93984.

Prime Factorization of 93973

Prime factors of 93973 are 11, 8543. Prime factorization of 93973 in exponential form is:

93973 = 111 × 85431

Prime Factorization of 93984

Prime factors of 93984 are 2, 3, 11, 89. Prime factorization of 93984 in exponential form is:

93984 = 25 × 31 × 111 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 93973 and 93984.

LCM(93973,93984) = 111 × 85431 × 25 × 31 × 891
LCM(93973,93984) = 802905312