What is the Least Common Multiple of 90774 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 90774 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 90774 and 90789, than apply into the LCM equation.

GCF(90774,90789) = 3
LCM(90774,90789) = ( 90774 × 90789) / 3
LCM(90774,90789) = 8241280686 / 3
LCM(90774,90789) = 2747093562

Least Common Multiple (LCM) of 90774 and 90789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90774 and 90789. First we will calculate the prime factors of 90774 and 90789.

Prime Factorization of 90774

Prime Factorization of 90789

Now multiplying the highest exponent prime factors to calculate the LCM of 90774 and 90789.

LCM(90774,90789) = 2¹ × 3³ × 41² × 53¹ × 571¹
LCM(90774,90789) = 2747093562