What is the Least Common Multiple of 23123 and 23138?

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 23123 and 23138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23123 and 23138, than apply into the LCM equation.

GCF(23123,23138) = 1
LCM(23123,23138) = ( 23123 × 23138) / 1
LCM(23123,23138) = 535019974 / 1
LCM(23123,23138) = 535019974

Least Common Multiple (LCM) of 23123 and 23138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23123 and 23138. First we will calculate the prime factors of 23123 and 23138.

Prime Factorization of 23123

Prime Factorization of 23138

Now multiplying the highest exponent prime factors to calculate the LCM of 23123 and 23138.

LCM(23123,23138) = 19¹ × 1217¹ × 2¹ × 23¹ × 503¹
LCM(23123,23138) = 535019974