What is the Least Common Multiple of 73005 and 73024?

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 73024 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 73024, than apply into the LCM equation.

GCF(73005,73024) = 1
LCM(73005,73024) = ( 73005 × 73024) / 1
LCM(73005,73024) = 5331117120 / 1
LCM(73005,73024) = 5331117120

Least Common Multiple (LCM) of 73005 and 73024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73005 and 73024. First we will calculate the prime factors of 73005 and 73024.

Prime Factorization of 73005

Prime Factorization of 73024

Now multiplying the highest exponent prime factors to calculate the LCM of 73005 and 73024.

LCM(73005,73024) = 3¹ × 5¹ × 31¹ × 157¹ × 2⁶ × 7¹ × 163¹
LCM(73005,73024) = 5331117120