What is the Least Common Multiple of 40044 and 40049?

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 40044 and 40049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40044 and 40049, than apply into the LCM equation.

GCF(40044,40049) = 1
LCM(40044,40049) = ( 40044 × 40049) / 1
LCM(40044,40049) = 1603722156 / 1
LCM(40044,40049) = 1603722156

Least Common Multiple (LCM) of 40044 and 40049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40044 and 40049. First we will calculate the prime factors of 40044 and 40049.

Prime Factorization of 40044

Prime Factorization of 40049

Now multiplying the highest exponent prime factors to calculate the LCM of 40044 and 40049.

LCM(40044,40049) = 2² × 3¹ × 47¹ × 71¹ × 29¹ × 1381¹
LCM(40044,40049) = 1603722156