What is the Least Common Multiple of 32748 and 32766?

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 32748 and 32766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32748 and 32766, than apply into the LCM equation.

GCF(32748,32766) = 6
LCM(32748,32766) = ( 32748 × 32766) / 6
LCM(32748,32766) = 1073020968 / 6
LCM(32748,32766) = 178836828

Least Common Multiple (LCM) of 32748 and 32766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32748 and 32766. First we will calculate the prime factors of 32748 and 32766.

Prime Factorization of 32748

Prime Factorization of 32766

Now multiplying the highest exponent prime factors to calculate the LCM of 32748 and 32766.

LCM(32748,32766) = 2² × 3¹ × 2729¹ × 43¹ × 127¹
LCM(32748,32766) = 178836828