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What is the Least Common Multiple of 70571 and 70583?

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 70571 and 70583 is 4981112893.

LCM(70571,70583) = 4981112893

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Least Common Multiple of 70571 and 70583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70571 and 70583, than apply into the LCM equation.

GCF(70571,70583) = 1
LCM(70571,70583) = ( 70571 × 70583) / 1
LCM(70571,70583) = 4981112893 / 1
LCM(70571,70583) = 4981112893

Least Common Multiple (LCM) of 70571 and 70583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70571 and 70583. First we will calculate the prime factors of 70571 and 70583.

Prime Factorization of 70571

Prime factors of 70571 are 70571. Prime factorization of 70571 in exponential form is:

70571 = 705711

Prime Factorization of 70583

Prime factors of 70583 are 70583. Prime factorization of 70583 in exponential form is:

70583 = 705831

Now multiplying the highest exponent prime factors to calculate the LCM of 70571 and 70583.

LCM(70571,70583) = 705711 × 705831
LCM(70571,70583) = 4981112893