What is the Least Common Multiple of 23489 and 23504?

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 23489 and 23504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23489 and 23504, than apply into the LCM equation.

GCF(23489,23504) = 1
LCM(23489,23504) = ( 23489 × 23504) / 1
LCM(23489,23504) = 552085456 / 1
LCM(23489,23504) = 552085456

Least Common Multiple (LCM) of 23489 and 23504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23489 and 23504. First we will calculate the prime factors of 23489 and 23504.

Prime Factorization of 23489

Prime Factorization of 23504

Now multiplying the highest exponent prime factors to calculate the LCM of 23489 and 23504.

LCM(23489,23504) = 83¹ × 283¹ × 2⁴ × 13¹ × 113¹
LCM(23489,23504) = 552085456