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What is the Least Common Multiple of 93773 and 93778?

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 93778 is 8793844394.

LCM(93773,93778) = 8793844394

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Least Common Multiple of 93773 and 93778 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 93778, than apply into the LCM equation.

GCF(93773,93778) = 1
LCM(93773,93778) = ( 93773 × 93778) / 1
LCM(93773,93778) = 8793844394 / 1
LCM(93773,93778) = 8793844394

Least Common Multiple (LCM) of 93773 and 93778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93773 and 93778. First we will calculate the prime factors of 93773 and 93778.

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 93778

Prime factors of 93778 are 2, 46889. Prime factorization of 93778 in exponential form is:

93778 = 21 × 468891

Now multiplying the highest exponent prime factors to calculate the LCM of 93773 and 93778.

LCM(93773,93778) = 791 × 11871 × 21 × 468891
LCM(93773,93778) = 8793844394