What is the Least Common Multiple of 90739 and 90748?

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 90739 and 90748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90739 and 90748, than apply into the LCM equation.

GCF(90739,90748) = 1
LCM(90739,90748) = ( 90739 × 90748) / 1
LCM(90739,90748) = 8234382772 / 1
LCM(90739,90748) = 8234382772

Least Common Multiple (LCM) of 90739 and 90748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90739 and 90748. First we will calculate the prime factors of 90739 and 90748.

Prime Factorization of 90739

Prime Factorization of 90748

Now multiplying the highest exponent prime factors to calculate the LCM of 90739 and 90748.

LCM(90739,90748) = 11¹ × 73¹ × 113¹ × 2² × 7² × 463¹
LCM(90739,90748) = 8234382772