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What is the Least Common Multiple of 93928 and 93934?

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 93928 and 93934 is 4411516376.

LCM(93928,93934) = 4411516376

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Least Common Multiple of 93928 and 93934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93928 and 93934, than apply into the LCM equation.

GCF(93928,93934) = 2
LCM(93928,93934) = ( 93928 × 93934) / 2
LCM(93928,93934) = 8823032752 / 2
LCM(93928,93934) = 4411516376

Least Common Multiple (LCM) of 93928 and 93934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93928 and 93934. First we will calculate the prime factors of 93928 and 93934.

Prime Factorization of 93928

Prime factors of 93928 are 2, 59, 199. Prime factorization of 93928 in exponential form is:

93928 = 23 × 591 × 1991

Prime Factorization of 93934

Prime factors of 93934 are 2, 67, 701. Prime factorization of 93934 in exponential form is:

93934 = 21 × 671 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 93928 and 93934.

LCM(93928,93934) = 23 × 591 × 1991 × 671 × 7011
LCM(93928,93934) = 4411516376