What is the Least Common Multiple of 90772 and 90789?

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 90789 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 90789, than apply into the LCM equation.

GCF(90772,90789) = 1
LCM(90772,90789) = ( 90772 × 90789) / 1
LCM(90772,90789) = 8241099108 / 1
LCM(90772,90789) = 8241099108

Least Common Multiple (LCM) of 90772 and 90789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90772 and 90789. First we will calculate the prime factors of 90772 and 90789.

Prime Factorization of 90772

Prime Factorization of 90789

Now multiplying the highest exponent prime factors to calculate the LCM of 90772 and 90789.

LCM(90772,90789) = 2² × 11¹ × 2063¹ × 3¹ × 53¹ × 571¹
LCM(90772,90789) = 8241099108