What is the Least Common Multiple of 80448 and 80455?

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 80448 and 80455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80448 and 80455, than apply into the LCM equation.

GCF(80448,80455) = 1
LCM(80448,80455) = ( 80448 × 80455) / 1
LCM(80448,80455) = 6472443840 / 1
LCM(80448,80455) = 6472443840

Least Common Multiple (LCM) of 80448 and 80455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80448 and 80455. First we will calculate the prime factors of 80448 and 80455.

Prime Factorization of 80448

Prime Factorization of 80455

Now multiplying the highest exponent prime factors to calculate the LCM of 80448 and 80455.

LCM(80448,80455) = 2⁶ × 3¹ × 419¹ × 5¹ × 16091¹
LCM(80448,80455) = 6472443840