What is the Least Common Multiple of 28994 and 29008?

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 28994 and 29008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28994 and 29008, than apply into the LCM equation.

GCF(28994,29008) = 14
LCM(28994,29008) = ( 28994 × 29008) / 14
LCM(28994,29008) = 841057952 / 14
LCM(28994,29008) = 60075568

Least Common Multiple (LCM) of 28994 and 29008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28994 and 29008. First we will calculate the prime factors of 28994 and 29008.

Prime Factorization of 28994

Prime Factorization of 29008

Now multiplying the highest exponent prime factors to calculate the LCM of 28994 and 29008.

LCM(28994,29008) = 2⁴ × 7² × 19¹ × 109¹ × 37¹
LCM(28994,29008) = 60075568