What is the Least Common Multiple of 28024 and 28034?

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 28024 and 28034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28024 and 28034, than apply into the LCM equation.

GCF(28024,28034) = 2
LCM(28024,28034) = ( 28024 × 28034) / 2
LCM(28024,28034) = 785624816 / 2
LCM(28024,28034) = 392812408

Least Common Multiple (LCM) of 28024 and 28034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28024 and 28034. First we will calculate the prime factors of 28024 and 28034.

Prime Factorization of 28024

Prime Factorization of 28034

Now multiplying the highest exponent prime factors to calculate the LCM of 28024 and 28034.

LCM(28024,28034) = 2³ × 31¹ × 113¹ × 107¹ × 131¹
LCM(28024,28034) = 392812408