GCF and LCM Calculator Logo

What is the Least Common Multiple of 7553 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 7553 and 7559 is 57093127.

LCM(7553,7559) = 57093127

LCM Calculator and
and

Least Common Multiple of 7553 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 7553 and 7559, than apply into the LCM equation.

GCF(7553,7559) = 1
LCM(7553,7559) = ( 7553 × 7559) / 1
LCM(7553,7559) = 57093127 / 1
LCM(7553,7559) = 57093127

Least Common Multiple (LCM) of 7553 and 7559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7553 and 7559. First we will calculate the prime factors of 7553 and 7559.

Prime Factorization of 7553

Prime factors of 7553 are 7, 13, 83. Prime factorization of 7553 in exponential form is:

7553 = 71 × 131 × 831

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 7553 and 7559.

LCM(7553,7559) = 71 × 131 × 831 × 75591
LCM(7553,7559) = 57093127