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What is the Least Common Multiple of 7564 and 7583?

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 7564 and 7583 is 57357812.

LCM(7564,7583) = 57357812

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Least Common Multiple of 7564 and 7583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7564 and 7583, than apply into the LCM equation.

GCF(7564,7583) = 1
LCM(7564,7583) = ( 7564 × 7583) / 1
LCM(7564,7583) = 57357812 / 1
LCM(7564,7583) = 57357812

Least Common Multiple (LCM) of 7564 and 7583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7564 and 7583. First we will calculate the prime factors of 7564 and 7583.

Prime Factorization of 7564

Prime factors of 7564 are 2, 31, 61. Prime factorization of 7564 in exponential form is:

7564 = 22 × 311 × 611

Prime Factorization of 7583

Prime factors of 7583 are 7583. Prime factorization of 7583 in exponential form is:

7583 = 75831

Now multiplying the highest exponent prime factors to calculate the LCM of 7564 and 7583.

LCM(7564,7583) = 22 × 311 × 611 × 75831
LCM(7564,7583) = 57357812