What is the Least Common Multiple of 28048 and 28058?

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 28048 and 28058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28048 and 28058, than apply into the LCM equation.

GCF(28048,28058) = 2
LCM(28048,28058) = ( 28048 × 28058) / 2
LCM(28048,28058) = 786970784 / 2
LCM(28048,28058) = 393485392

Least Common Multiple (LCM) of 28048 and 28058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28048 and 28058. First we will calculate the prime factors of 28048 and 28058.

Prime Factorization of 28048

Prime Factorization of 28058

Now multiplying the highest exponent prime factors to calculate the LCM of 28048 and 28058.

LCM(28048,28058) = 2⁴ × 1753¹ × 14029¹
LCM(28048,28058) = 393485392