What is the Least Common Multiple of 89072 and 89089?

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 89072 and 89089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89072 and 89089, than apply into the LCM equation.

GCF(89072,89089) = 1
LCM(89072,89089) = ( 89072 × 89089) / 1
LCM(89072,89089) = 7935335408 / 1
LCM(89072,89089) = 7935335408

Least Common Multiple (LCM) of 89072 and 89089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89072 and 89089. First we will calculate the prime factors of 89072 and 89089.

Prime Factorization of 89072

Prime Factorization of 89089

Now multiplying the highest exponent prime factors to calculate the LCM of 89072 and 89089.

LCM(89072,89089) = 2⁴ × 19¹ × 293¹ × 7¹ × 11¹ × 13¹ × 89¹
LCM(89072,89089) = 7935335408