What is the Least Common Multiple of 23460 and 23475?

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 23460 and 23475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23460 and 23475, than apply into the LCM equation.

GCF(23460,23475) = 15
LCM(23460,23475) = ( 23460 × 23475) / 15
LCM(23460,23475) = 550723500 / 15
LCM(23460,23475) = 36714900

Least Common Multiple (LCM) of 23460 and 23475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23460 and 23475. First we will calculate the prime factors of 23460 and 23475.

Prime Factorization of 23460

Prime Factorization of 23475

Now multiplying the highest exponent prime factors to calculate the LCM of 23460 and 23475.

LCM(23460,23475) = 2² × 3¹ × 5² × 17¹ × 23¹ × 313¹
LCM(23460,23475) = 36714900