What is the Least Common Multiple of 23014 and 23034?

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 23014 and 23034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23014 and 23034, than apply into the LCM equation.

GCF(23014,23034) = 2
LCM(23014,23034) = ( 23014 × 23034) / 2
LCM(23014,23034) = 530104476 / 2
LCM(23014,23034) = 265052238

Least Common Multiple (LCM) of 23014 and 23034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23014 and 23034. First we will calculate the prime factors of 23014 and 23034.

Prime Factorization of 23014

Prime Factorization of 23034

Now multiplying the highest exponent prime factors to calculate the LCM of 23014 and 23034.

LCM(23014,23034) = 2¹ × 37¹ × 311¹ × 3¹ × 11¹ × 349¹
LCM(23014,23034) = 265052238