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What is the Least Common Multiple of 7566 and 7586?

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 7586 is 28697838.

LCM(7566,7586) = 28697838

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Least Common Multiple of 7566 and 7586 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 7586, than apply into the LCM equation.

GCF(7566,7586) = 2
LCM(7566,7586) = ( 7566 × 7586) / 2
LCM(7566,7586) = 57395676 / 2
LCM(7566,7586) = 28697838

Least Common Multiple (LCM) of 7566 and 7586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7566 and 7586. First we will calculate the prime factors of 7566 and 7586.

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 7586

Prime factors of 7586 are 2, 3793. Prime factorization of 7586 in exponential form is:

7586 = 21 × 37931

Now multiplying the highest exponent prime factors to calculate the LCM of 7566 and 7586.

LCM(7566,7586) = 21 × 31 × 131 × 971 × 37931
LCM(7566,7586) = 28697838