GCF and LCM Calculator Logo

What is the Least Common Multiple of 87447 and 87452?

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 87447 and 87452 is 7647415044.

LCM(87447,87452) = 7647415044

LCM Calculator and
and

Least Common Multiple of 87447 and 87452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87447 and 87452, than apply into the LCM equation.

GCF(87447,87452) = 1
LCM(87447,87452) = ( 87447 × 87452) / 1
LCM(87447,87452) = 7647415044 / 1
LCM(87447,87452) = 7647415044

Least Common Multiple (LCM) of 87447 and 87452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87447 and 87452. First we will calculate the prime factors of 87447 and 87452.

Prime Factorization of 87447

Prime factors of 87447 are 3, 103, 283. Prime factorization of 87447 in exponential form is:

87447 = 31 × 1031 × 2831

Prime Factorization of 87452

Prime factors of 87452 are 2, 21863. Prime factorization of 87452 in exponential form is:

87452 = 22 × 218631

Now multiplying the highest exponent prime factors to calculate the LCM of 87447 and 87452.

LCM(87447,87452) = 31 × 1031 × 2831 × 22 × 218631
LCM(87447,87452) = 7647415044