What is the Least Common Multiple of 23044 and 23054?

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 23054 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 23054, than apply into the LCM equation.

GCF(23044,23054) = 2
LCM(23044,23054) = ( 23044 × 23054) / 2
LCM(23044,23054) = 531256376 / 2
LCM(23044,23054) = 265628188

Least Common Multiple (LCM) of 23044 and 23054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23044 and 23054. First we will calculate the prime factors of 23044 and 23054.

Prime Factorization of 23044

Prime Factorization of 23054

Now multiplying the highest exponent prime factors to calculate the LCM of 23044 and 23054.

LCM(23044,23054) = 2² × 7¹ × 823¹ × 11527¹
LCM(23044,23054) = 265628188