What is the Least Common Multiple of 40002 and 40019?

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 40002 and 40019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40002 and 40019, than apply into the LCM equation.

GCF(40002,40019) = 1
LCM(40002,40019) = ( 40002 × 40019) / 1
LCM(40002,40019) = 1600840038 / 1
LCM(40002,40019) = 1600840038

Least Common Multiple (LCM) of 40002 and 40019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40002 and 40019. First we will calculate the prime factors of 40002 and 40019.

Prime Factorization of 40002

Prime Factorization of 40019

Now multiplying the highest exponent prime factors to calculate the LCM of 40002 and 40019.

LCM(40002,40019) = 2¹ × 3¹ × 59¹ × 113¹ × 7¹ × 5717¹
LCM(40002,40019) = 1600840038