What is the Least Common Multiple of 23052 and 23069?

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 23052 and 23069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23052 and 23069, than apply into the LCM equation.

GCF(23052,23069) = 17
LCM(23052,23069) = ( 23052 × 23069) / 17
LCM(23052,23069) = 531786588 / 17
LCM(23052,23069) = 31281564

Least Common Multiple (LCM) of 23052 and 23069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23052 and 23069. First we will calculate the prime factors of 23052 and 23069.

Prime Factorization of 23052

Prime Factorization of 23069

Now multiplying the highest exponent prime factors to calculate the LCM of 23052 and 23069.

LCM(23052,23069) = 2² × 3¹ × 17¹ × 113¹ × 23¹ × 59¹
LCM(23052,23069) = 31281564