What is the Least Common Multiple of 28030 and 28048?

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 28030 and 28048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28030 and 28048, than apply into the LCM equation.

GCF(28030,28048) = 2
LCM(28030,28048) = ( 28030 × 28048) / 2
LCM(28030,28048) = 786185440 / 2
LCM(28030,28048) = 393092720

Least Common Multiple (LCM) of 28030 and 28048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28030 and 28048. First we will calculate the prime factors of 28030 and 28048.

Prime Factorization of 28030

Prime Factorization of 28048

Now multiplying the highest exponent prime factors to calculate the LCM of 28030 and 28048.

LCM(28030,28048) = 2⁴ × 5¹ × 2803¹ × 1753¹
LCM(28030,28048) = 393092720