What is the Least Common Multiple of 90772 and 90781?

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 90772 and 90781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90772 and 90781, than apply into the LCM equation.

GCF(90772,90781) = 1
LCM(90772,90781) = ( 90772 × 90781) / 1
LCM(90772,90781) = 8240372932 / 1
LCM(90772,90781) = 8240372932

Least Common Multiple (LCM) of 90772 and 90781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90772 and 90781. First we will calculate the prime factors of 90772 and 90781.

Prime Factorization of 90772

Prime Factorization of 90781

Now multiplying the highest exponent prime factors to calculate the LCM of 90772 and 90781.

LCM(90772,90781) = 2² × 11¹ × 2063¹ × 23¹ × 3947¹
LCM(90772,90781) = 8240372932