What is the Least Common Multiple of 90748 and 90762?

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 90748 and 90762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90748 and 90762, than apply into the LCM equation.

GCF(90748,90762) = 14
LCM(90748,90762) = ( 90748 × 90762) / 14
LCM(90748,90762) = 8236469976 / 14
LCM(90748,90762) = 588319284

Least Common Multiple (LCM) of 90748 and 90762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90748 and 90762. First we will calculate the prime factors of 90748 and 90762.

Prime Factorization of 90748

Prime Factorization of 90762

Now multiplying the highest exponent prime factors to calculate the LCM of 90748 and 90762.

LCM(90748,90762) = 2² × 7² × 463¹ × 3¹ × 2161¹
LCM(90748,90762) = 588319284