What is the Least Common Multiple of 80428 and 80448?

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 80428 and 80448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80428 and 80448, than apply into the LCM equation.

GCF(80428,80448) = 4
LCM(80428,80448) = ( 80428 × 80448) / 4
LCM(80428,80448) = 6470271744 / 4
LCM(80428,80448) = 1617567936

Least Common Multiple (LCM) of 80428 and 80448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80428 and 80448. First we will calculate the prime factors of 80428 and 80448.

Prime Factorization of 80428

Prime Factorization of 80448

Now multiplying the highest exponent prime factors to calculate the LCM of 80428 and 80448.

LCM(80428,80448) = 2⁶ × 20107¹ × 3¹ × 419¹
LCM(80428,80448) = 1617567936