What is the Least Common Multiple of 89632 and 89641?

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 89632 and 89641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89632 and 89641, than apply into the LCM equation.

GCF(89632,89641) = 1
LCM(89632,89641) = ( 89632 × 89641) / 1
LCM(89632,89641) = 8034702112 / 1
LCM(89632,89641) = 8034702112

Least Common Multiple (LCM) of 89632 and 89641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89632 and 89641. First we will calculate the prime factors of 89632 and 89641.

Prime Factorization of 89632

Prime Factorization of 89641

Now multiplying the highest exponent prime factors to calculate the LCM of 89632 and 89641.

LCM(89632,89641) = 2⁵ × 2801¹ × 17¹ × 5273¹
LCM(89632,89641) = 8034702112