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What is the Least Common Multiple of 93773 and 93781?

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 93773 and 93781 is 8794125713.

LCM(93773,93781) = 8794125713

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Least Common Multiple of 93773 and 93781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93773 and 93781, than apply into the LCM equation.

GCF(93773,93781) = 1
LCM(93773,93781) = ( 93773 × 93781) / 1
LCM(93773,93781) = 8794125713 / 1
LCM(93773,93781) = 8794125713

Least Common Multiple (LCM) of 93773 and 93781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93773 and 93781. First we will calculate the prime factors of 93773 and 93781.

Prime Factorization of 93773

Prime factors of 93773 are 79, 1187. Prime factorization of 93773 in exponential form is:

93773 = 791 × 11871

Prime Factorization of 93781

Prime factors of 93781 are 191, 491. Prime factorization of 93781 in exponential form is:

93781 = 1911 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 93773 and 93781.

LCM(93773,93781) = 791 × 11871 × 1911 × 4911
LCM(93773,93781) = 8794125713