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What is the Least Common Multiple of 90473 and 90479?

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 90473 and 90479 is 8185906567.

LCM(90473,90479) = 8185906567

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Least Common Multiple of 90473 and 90479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90473 and 90479, than apply into the LCM equation.

GCF(90473,90479) = 1
LCM(90473,90479) = ( 90473 × 90479) / 1
LCM(90473,90479) = 8185906567 / 1
LCM(90473,90479) = 8185906567

Least Common Multiple (LCM) of 90473 and 90479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90473 and 90479. First we will calculate the prime factors of 90473 and 90479.

Prime Factorization of 90473

Prime factors of 90473 are 90473. Prime factorization of 90473 in exponential form is:

90473 = 904731

Prime Factorization of 90479

Prime factors of 90479 are 173, 523. Prime factorization of 90479 in exponential form is:

90479 = 1731 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 90473 and 90479.

LCM(90473,90479) = 904731 × 1731 × 5231
LCM(90473,90479) = 8185906567