What is the Least Common Multiple of 90768 and 90773?

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 90768 and 90773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90768 and 90773, than apply into the LCM equation.

GCF(90768,90773) = 1
LCM(90768,90773) = ( 90768 × 90773) / 1
LCM(90768,90773) = 8239283664 / 1
LCM(90768,90773) = 8239283664

Least Common Multiple (LCM) of 90768 and 90773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90768 and 90773. First we will calculate the prime factors of 90768 and 90773.

Prime Factorization of 90768

Prime Factorization of 90773

Now multiplying the highest exponent prime factors to calculate the LCM of 90768 and 90773.

LCM(90768,90773) = 2⁴ × 3¹ × 31¹ × 61¹ × 43¹ × 2111¹
LCM(90768,90773) = 8239283664