What is the Least Common Multiple of 73010 and 73028?

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 73010 and 73028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73010 and 73028, than apply into the LCM equation.

GCF(73010,73028) = 2
LCM(73010,73028) = ( 73010 × 73028) / 2
LCM(73010,73028) = 5331774280 / 2
LCM(73010,73028) = 2665887140

Least Common Multiple (LCM) of 73010 and 73028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73010 and 73028. First we will calculate the prime factors of 73010 and 73028.

Prime Factorization of 73010

Prime Factorization of 73028

Now multiplying the highest exponent prime factors to calculate the LCM of 73010 and 73028.

LCM(73010,73028) = 2² × 5¹ × 7² × 149¹ × 18257¹
LCM(73010,73028) = 2665887140