What is the Least Common Multiple of 28592 and 28601?

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 28592 and 28601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28592 and 28601, than apply into the LCM equation.

GCF(28592,28601) = 1
LCM(28592,28601) = ( 28592 × 28601) / 1
LCM(28592,28601) = 817759792 / 1
LCM(28592,28601) = 817759792

Least Common Multiple (LCM) of 28592 and 28601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28592 and 28601. First we will calculate the prime factors of 28592 and 28601.

Prime Factorization of 28592

Prime Factorization of 28601

Now multiplying the highest exponent prime factors to calculate the LCM of 28592 and 28601.

LCM(28592,28601) = 2⁴ × 1787¹ × 37¹ × 773¹
LCM(28592,28601) = 817759792