What is the Least Common Multiple of 23475 and 23490?

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 23475 and 23490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23475 and 23490, than apply into the LCM equation.

GCF(23475,23490) = 15
LCM(23475,23490) = ( 23475 × 23490) / 15
LCM(23475,23490) = 551427750 / 15
LCM(23475,23490) = 36761850

Least Common Multiple (LCM) of 23475 and 23490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23475 and 23490. First we will calculate the prime factors of 23475 and 23490.

Prime Factorization of 23475

Prime Factorization of 23490

Now multiplying the highest exponent prime factors to calculate the LCM of 23475 and 23490.

LCM(23475,23490) = 3⁴ × 5² × 313¹ × 2¹ × 29¹
LCM(23475,23490) = 36761850