What is the Least Common Multiple of 89704 and 89723?

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 89704 and 89723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89704 and 89723, than apply into the LCM equation.

GCF(89704,89723) = 1
LCM(89704,89723) = ( 89704 × 89723) / 1
LCM(89704,89723) = 8048511992 / 1
LCM(89704,89723) = 8048511992

Least Common Multiple (LCM) of 89704 and 89723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89704 and 89723. First we will calculate the prime factors of 89704 and 89723.

Prime Factorization of 89704

Prime Factorization of 89723

Now multiplying the highest exponent prime factors to calculate the LCM of 89704 and 89723.

LCM(89704,89723) = 2³ × 11213¹ × 23¹ × 47¹ × 83¹
LCM(89704,89723) = 8048511992