GCF and LCM Calculator Logo

What is the Least Common Multiple of 12735 and 12748?

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 12735 and 12748 is 162345780.

LCM(12735,12748) = 162345780

LCM Calculator and
and

Least Common Multiple of 12735 and 12748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12735 and 12748, than apply into the LCM equation.

GCF(12735,12748) = 1
LCM(12735,12748) = ( 12735 × 12748) / 1
LCM(12735,12748) = 162345780 / 1
LCM(12735,12748) = 162345780

Least Common Multiple (LCM) of 12735 and 12748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12735 and 12748. First we will calculate the prime factors of 12735 and 12748.

Prime Factorization of 12735

Prime factors of 12735 are 3, 5, 283. Prime factorization of 12735 in exponential form is:

12735 = 32 × 51 × 2831

Prime Factorization of 12748

Prime factors of 12748 are 2, 3187. Prime factorization of 12748 in exponential form is:

12748 = 22 × 31871

Now multiplying the highest exponent prime factors to calculate the LCM of 12735 and 12748.

LCM(12735,12748) = 32 × 51 × 2831 × 22 × 31871
LCM(12735,12748) = 162345780