What is the Least Common Multiple of 80928 and 80945?

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 80928 and 80945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80928 and 80945, than apply into the LCM equation.

GCF(80928,80945) = 1
LCM(80928,80945) = ( 80928 × 80945) / 1
LCM(80928,80945) = 6550716960 / 1
LCM(80928,80945) = 6550716960

Least Common Multiple (LCM) of 80928 and 80945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80928 and 80945. First we will calculate the prime factors of 80928 and 80945.

Prime Factorization of 80928

Prime Factorization of 80945

Now multiplying the highest exponent prime factors to calculate the LCM of 80928 and 80945.

LCM(80928,80945) = 2⁵ × 3² × 281¹ × 5¹ × 16189¹
LCM(80928,80945) = 6550716960