GCF and LCM Calculator Logo

What is the Least Common Multiple of 7053 and 7073?

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 7053 and 7073 is 49885869.

LCM(7053,7073) = 49885869

LCM Calculator and
and

Least Common Multiple of 7053 and 7073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7053 and 7073, than apply into the LCM equation.

GCF(7053,7073) = 1
LCM(7053,7073) = ( 7053 × 7073) / 1
LCM(7053,7073) = 49885869 / 1
LCM(7053,7073) = 49885869

Least Common Multiple (LCM) of 7053 and 7073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7053 and 7073. First we will calculate the prime factors of 7053 and 7073.

Prime Factorization of 7053

Prime factors of 7053 are 3, 2351. Prime factorization of 7053 in exponential form is:

7053 = 31 × 23511

Prime Factorization of 7073

Prime factors of 7073 are 11, 643. Prime factorization of 7073 in exponential form is:

7073 = 111 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 7053 and 7073.

LCM(7053,7073) = 31 × 23511 × 111 × 6431
LCM(7053,7073) = 49885869