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What is the Least Common Multiple of 93919 and 93928?

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 93919 and 93928 is 8821623832.

LCM(93919,93928) = 8821623832

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Least Common Multiple of 93919 and 93928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93919 and 93928, than apply into the LCM equation.

GCF(93919,93928) = 1
LCM(93919,93928) = ( 93919 × 93928) / 1
LCM(93919,93928) = 8821623832 / 1
LCM(93919,93928) = 8821623832

Least Common Multiple (LCM) of 93919 and 93928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93919 and 93928. First we will calculate the prime factors of 93919 and 93928.

Prime Factorization of 93919

Prime factors of 93919 are 7, 13417. Prime factorization of 93919 in exponential form is:

93919 = 71 × 134171

Prime Factorization of 93928

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

93928 = 23 × 591 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 93919 and 93928.

LCM(93919,93928) = 71 × 134171 × 23 × 591 × 1991
LCM(93919,93928) = 8821623832