What is the Least Common Multiple of 40053 and 40073?

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 40053 and 40073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40053 and 40073, than apply into the LCM equation.

GCF(40053,40073) = 1
LCM(40053,40073) = ( 40053 × 40073) / 1
LCM(40053,40073) = 1605043869 / 1
LCM(40053,40073) = 1605043869

Least Common Multiple (LCM) of 40053 and 40073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40053 and 40073. First we will calculate the prime factors of 40053 and 40073.

Prime Factorization of 40053

Prime Factorization of 40073

Now multiplying the highest exponent prime factors to calculate the LCM of 40053 and 40073.

LCM(40053,40073) = 3¹ × 13² × 79¹ × 11¹ × 3643¹
LCM(40053,40073) = 1605043869