What is the Least Common Multiple of 23044 and 23049?

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 23044 and 23049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23044 and 23049, than apply into the LCM equation.

GCF(23044,23049) = 1
LCM(23044,23049) = ( 23044 × 23049) / 1
LCM(23044,23049) = 531141156 / 1
LCM(23044,23049) = 531141156

Least Common Multiple (LCM) of 23044 and 23049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23044 and 23049. First we will calculate the prime factors of 23044 and 23049.

Prime Factorization of 23044

Prime Factorization of 23049

Now multiplying the highest exponent prime factors to calculate the LCM of 23044 and 23049.

LCM(23044,23049) = 2² × 7¹ × 823¹ × 3² × 13¹ × 197¹
LCM(23044,23049) = 531141156