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What is the Least Common Multiple of 7546 and 7559?

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 7546 and 7559 is 57040214.

LCM(7546,7559) = 57040214

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Least Common Multiple of 7546 and 7559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7546 and 7559, than apply into the LCM equation.

GCF(7546,7559) = 1
LCM(7546,7559) = ( 7546 × 7559) / 1
LCM(7546,7559) = 57040214 / 1
LCM(7546,7559) = 57040214

Least Common Multiple (LCM) of 7546 and 7559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7546 and 7559. First we will calculate the prime factors of 7546 and 7559.

Prime Factorization of 7546

Prime factors of 7546 are 2, 7, 11. Prime factorization of 7546 in exponential form is:

7546 = 21 × 73 × 111

Prime Factorization of 7559

Prime factors of 7559 are 7559. Prime factorization of 7559 in exponential form is:

7559 = 75591

Now multiplying the highest exponent prime factors to calculate the LCM of 7546 and 7559.

LCM(7546,7559) = 21 × 73 × 111 × 75591
LCM(7546,7559) = 57040214