What is the Least Common Multiple of 74016 and 74028?

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 74016 and 74028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74016 and 74028, than apply into the LCM equation.

GCF(74016,74028) = 12
LCM(74016,74028) = ( 74016 × 74028) / 12
LCM(74016,74028) = 5479256448 / 12
LCM(74016,74028) = 456604704

Least Common Multiple (LCM) of 74016 and 74028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74016 and 74028. First we will calculate the prime factors of 74016 and 74028.

Prime Factorization of 74016

Prime Factorization of 74028

Now multiplying the highest exponent prime factors to calculate the LCM of 74016 and 74028.

LCM(74016,74028) = 2⁵ × 3² × 257¹ × 31¹ × 199¹
LCM(74016,74028) = 456604704