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What is the Least Common Multiple of 90773 and 90777?

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 90773 and 90777 is 8240100621.

LCM(90773,90777) = 8240100621

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Least Common Multiple of 90773 and 90777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90773 and 90777, than apply into the LCM equation.

GCF(90773,90777) = 1
LCM(90773,90777) = ( 90773 × 90777) / 1
LCM(90773,90777) = 8240100621 / 1
LCM(90773,90777) = 8240100621

Least Common Multiple (LCM) of 90773 and 90777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90773 and 90777. First we will calculate the prime factors of 90773 and 90777.

Prime Factorization of 90773

Prime factors of 90773 are 43, 2111. Prime factorization of 90773 in exponential form is:

90773 = 431 × 21111

Prime Factorization of 90777

Prime factors of 90777 are 3, 30259. Prime factorization of 90777 in exponential form is:

90777 = 31 × 302591

Now multiplying the highest exponent prime factors to calculate the LCM of 90773 and 90777.

LCM(90773,90777) = 431 × 21111 × 31 × 302591
LCM(90773,90777) = 8240100621