GCF and LCM Calculator Logo

What is the Least Common Multiple of 7044 and 7060?

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 7044 and 7060 is 12432660.

LCM(7044,7060) = 12432660

LCM Calculator and
and

Least Common Multiple of 7044 and 7060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7044 and 7060, than apply into the LCM equation.

GCF(7044,7060) = 4
LCM(7044,7060) = ( 7044 × 7060) / 4
LCM(7044,7060) = 49730640 / 4
LCM(7044,7060) = 12432660

Least Common Multiple (LCM) of 7044 and 7060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7044 and 7060. First we will calculate the prime factors of 7044 and 7060.

Prime Factorization of 7044

Prime factors of 7044 are 2, 3, 587. Prime factorization of 7044 in exponential form is:

7044 = 22 × 31 × 5871

Prime Factorization of 7060

Prime factors of 7060 are 2, 5, 353. Prime factorization of 7060 in exponential form is:

7060 = 22 × 51 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 7044 and 7060.

LCM(7044,7060) = 22 × 31 × 5871 × 51 × 3531
LCM(7044,7060) = 12432660