What is the Least Common Multiple of 89630 and 89645?

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 89630 and 89645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89630 and 89645, than apply into the LCM equation.

GCF(89630,89645) = 5
LCM(89630,89645) = ( 89630 × 89645) / 5
LCM(89630,89645) = 8034881350 / 5
LCM(89630,89645) = 1606976270

Least Common Multiple (LCM) of 89630 and 89645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89630 and 89645. First we will calculate the prime factors of 89630 and 89645.

Prime Factorization of 89630

Prime Factorization of 89645

Now multiplying the highest exponent prime factors to calculate the LCM of 89630 and 89645.

LCM(89630,89645) = 2¹ × 5¹ × 8963¹ × 17929¹
LCM(89630,89645) = 1606976270