What is the Least Common Multiple of 12744 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 of 12744 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 12744 and 12748, than apply into the LCM equation.

GCF(12744,12748) = 4
LCM(12744,12748) = ( 12744 × 12748) / 4
LCM(12744,12748) = 162460512 / 4
LCM(12744,12748) = 40615128

Least Common Multiple (LCM) of 12744 and 12748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12744 and 12748. First we will calculate the prime factors of 12744 and 12748.

Prime Factorization of 12744

Prime Factorization of 12748

Now multiplying the highest exponent prime factors to calculate the LCM of 12744 and 12748.

LCM(12744,12748) = 2³ × 3³ × 59¹ × 3187¹
LCM(12744,12748) = 40615128