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What is the Least Common Multiple of 7516 and 7526?

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 7516 and 7526 is 28282708.

LCM(7516,7526) = 28282708

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Least Common Multiple of 7516 and 7526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7516 and 7526, than apply into the LCM equation.

GCF(7516,7526) = 2
LCM(7516,7526) = ( 7516 × 7526) / 2
LCM(7516,7526) = 56565416 / 2
LCM(7516,7526) = 28282708

Least Common Multiple (LCM) of 7516 and 7526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7516 and 7526. First we will calculate the prime factors of 7516 and 7526.

Prime Factorization of 7516

Prime factors of 7516 are 2, 1879. Prime factorization of 7516 in exponential form is:

7516 = 22 × 18791

Prime Factorization of 7526

Prime factors of 7526 are 2, 53, 71. Prime factorization of 7526 in exponential form is:

7526 = 21 × 531 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 7516 and 7526.

LCM(7516,7526) = 22 × 18791 × 531 × 711
LCM(7516,7526) = 28282708