What is the Least Common Multiple of 32738 and 32748?

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 32738 and 32748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32738 and 32748, than apply into the LCM equation.

GCF(32738,32748) = 2
LCM(32738,32748) = ( 32738 × 32748) / 2
LCM(32738,32748) = 1072104024 / 2
LCM(32738,32748) = 536052012

Least Common Multiple (LCM) of 32738 and 32748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32738 and 32748. First we will calculate the prime factors of 32738 and 32748.

Prime Factorization of 32738

Prime Factorization of 32748

Now multiplying the highest exponent prime factors to calculate the LCM of 32738 and 32748.

LCM(32738,32748) = 2² × 16369¹ × 3¹ × 2729¹
LCM(32738,32748) = 536052012