What is the Least Common Multiple of 60008 and 60028?

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 60008 and 60028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60008 and 60028, than apply into the LCM equation.

GCF(60008,60028) = 4
LCM(60008,60028) = ( 60008 × 60028) / 4
LCM(60008,60028) = 3602160224 / 4
LCM(60008,60028) = 900540056

Least Common Multiple (LCM) of 60008 and 60028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60008 and 60028. First we will calculate the prime factors of 60008 and 60028.

Prime Factorization of 60008

Prime Factorization of 60028

Now multiplying the highest exponent prime factors to calculate the LCM of 60008 and 60028.

LCM(60008,60028) = 2³ × 13¹ × 577¹ × 43¹ × 349¹
LCM(60008,60028) = 900540056