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What is the Least Common Multiple of 7057 and 7064?

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 7057 and 7064 is 49850648.

LCM(7057,7064) = 49850648

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Least Common Multiple of 7057 and 7064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7057 and 7064, than apply into the LCM equation.

GCF(7057,7064) = 1
LCM(7057,7064) = ( 7057 × 7064) / 1
LCM(7057,7064) = 49850648 / 1
LCM(7057,7064) = 49850648

Least Common Multiple (LCM) of 7057 and 7064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7057 and 7064. First we will calculate the prime factors of 7057 and 7064.

Prime Factorization of 7057

Prime factors of 7057 are 7057. Prime factorization of 7057 in exponential form is:

7057 = 70571

Prime Factorization of 7064

Prime factors of 7064 are 2, 883. Prime factorization of 7064 in exponential form is:

7064 = 23 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 7057 and 7064.

LCM(7057,7064) = 70571 × 23 × 8831
LCM(7057,7064) = 49850648