GCF and LCM Calculator Logo

What is the Least Common Multiple of 7569 and 7582?

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 7569 and 7582 is 57388158.

LCM(7569,7582) = 57388158

LCM Calculator and
and

Least Common Multiple of 7569 and 7582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7569 and 7582, than apply into the LCM equation.

GCF(7569,7582) = 1
LCM(7569,7582) = ( 7569 × 7582) / 1
LCM(7569,7582) = 57388158 / 1
LCM(7569,7582) = 57388158

Least Common Multiple (LCM) of 7569 and 7582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7569 and 7582. First we will calculate the prime factors of 7569 and 7582.

Prime Factorization of 7569

Prime factors of 7569 are 3, 29. Prime factorization of 7569 in exponential form is:

7569 = 32 × 292

Prime Factorization of 7582

Prime factors of 7582 are 2, 17, 223. Prime factorization of 7582 in exponential form is:

7582 = 21 × 171 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 7569 and 7582.

LCM(7569,7582) = 32 × 292 × 21 × 171 × 2231
LCM(7569,7582) = 57388158