What is the Least Common Multiple of 89456 and 89466?

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 89456 and 89466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89456 and 89466, than apply into the LCM equation.

GCF(89456,89466) = 2
LCM(89456,89466) = ( 89456 × 89466) / 2
LCM(89456,89466) = 8003270496 / 2
LCM(89456,89466) = 4001635248

Least Common Multiple (LCM) of 89456 and 89466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89456 and 89466. First we will calculate the prime factors of 89456 and 89466.

Prime Factorization of 89456

Prime Factorization of 89466

Now multiplying the highest exponent prime factors to calculate the LCM of 89456 and 89466.

LCM(89456,89466) = 2⁴ × 5591¹ × 3¹ × 13¹ × 31¹ × 37¹
LCM(89456,89466) = 4001635248