What is the Least Common Multiple of 23114 and 23128?

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 23114 and 23128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23114 and 23128, than apply into the LCM equation.

GCF(23114,23128) = 14
LCM(23114,23128) = ( 23114 × 23128) / 14
LCM(23114,23128) = 534580592 / 14
LCM(23114,23128) = 38184328

Least Common Multiple (LCM) of 23114 and 23128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23114 and 23128. First we will calculate the prime factors of 23114 and 23128.

Prime Factorization of 23114

Prime Factorization of 23128

Now multiplying the highest exponent prime factors to calculate the LCM of 23114 and 23128.

LCM(23114,23128) = 2³ × 7² × 13¹ × 127¹ × 59¹
LCM(23114,23128) = 38184328