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What is the Least Common Multiple of 7562 and 7572?

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 7562 and 7572 is 28629732.

LCM(7562,7572) = 28629732

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Least Common Multiple of 7562 and 7572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7562 and 7572, than apply into the LCM equation.

GCF(7562,7572) = 2
LCM(7562,7572) = ( 7562 × 7572) / 2
LCM(7562,7572) = 57259464 / 2
LCM(7562,7572) = 28629732

Least Common Multiple (LCM) of 7562 and 7572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7562 and 7572. First we will calculate the prime factors of 7562 and 7572.

Prime Factorization of 7562

Prime factors of 7562 are 2, 19, 199. Prime factorization of 7562 in exponential form is:

7562 = 21 × 191 × 1991

Prime Factorization of 7572

Prime factors of 7572 are 2, 3, 631. Prime factorization of 7572 in exponential form is:

7572 = 22 × 31 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 7562 and 7572.

LCM(7562,7572) = 22 × 191 × 1991 × 31 × 6311
LCM(7562,7572) = 28629732