What is the Least Common Multiple of 89456 and 89473?

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 89473 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 89473, than apply into the LCM equation.

GCF(89456,89473) = 1
LCM(89456,89473) = ( 89456 × 89473) / 1
LCM(89456,89473) = 8003896688 / 1
LCM(89456,89473) = 8003896688

Least Common Multiple (LCM) of 89456 and 89473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89456 and 89473. First we will calculate the prime factors of 89456 and 89473.

Prime Factorization of 89456

Prime Factorization of 89473

Now multiplying the highest exponent prime factors to calculate the LCM of 89456 and 89473.

LCM(89456,89473) = 2⁴ × 5591¹ × 131¹ × 683¹
LCM(89456,89473) = 8003896688