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What is the Least Common Multiple of 7566 and 7577?

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 7566 and 7577 is 57327582.

LCM(7566,7577) = 57327582

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Least Common Multiple of 7566 and 7577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7566 and 7577, than apply into the LCM equation.

GCF(7566,7577) = 1
LCM(7566,7577) = ( 7566 × 7577) / 1
LCM(7566,7577) = 57327582 / 1
LCM(7566,7577) = 57327582

Least Common Multiple (LCM) of 7566 and 7577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7566 and 7577. First we will calculate the prime factors of 7566 and 7577.

Prime Factorization of 7566

Prime factors of 7566 are 2, 3, 13, 97. Prime factorization of 7566 in exponential form is:

7566 = 21 × 31 × 131 × 971

Prime Factorization of 7577

Prime factors of 7577 are 7577. Prime factorization of 7577 in exponential form is:

7577 = 75771

Now multiplying the highest exponent prime factors to calculate the LCM of 7566 and 7577.

LCM(7566,7577) = 21 × 31 × 131 × 971 × 75771
LCM(7566,7577) = 57327582