What is the Least Common Multiple of 73005 and 73010?

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 73005 and 73010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73005 and 73010, than apply into the LCM equation.

GCF(73005,73010) = 5
LCM(73005,73010) = ( 73005 × 73010) / 5
LCM(73005,73010) = 5330095050 / 5
LCM(73005,73010) = 1066019010

Least Common Multiple (LCM) of 73005 and 73010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73005 and 73010. First we will calculate the prime factors of 73005 and 73010.

Prime Factorization of 73005

Prime Factorization of 73010

Now multiplying the highest exponent prime factors to calculate the LCM of 73005 and 73010.

LCM(73005,73010) = 3¹ × 5¹ × 31¹ × 157¹ × 2¹ × 7² × 149¹
LCM(73005,73010) = 1066019010