What is the Least Common Multiple of 23034 and 23040?

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 23034 and 23040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23034 and 23040, than apply into the LCM equation.

GCF(23034,23040) = 6
LCM(23034,23040) = ( 23034 × 23040) / 6
LCM(23034,23040) = 530703360 / 6
LCM(23034,23040) = 88450560

Least Common Multiple (LCM) of 23034 and 23040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23034 and 23040. First we will calculate the prime factors of 23034 and 23040.

Prime Factorization of 23034

Prime Factorization of 23040

Now multiplying the highest exponent prime factors to calculate the LCM of 23034 and 23040.

LCM(23034,23040) = 2⁹ × 3² × 11¹ × 349¹ × 5¹
LCM(23034,23040) = 88450560