What is the Least Common Multiple of 75023 and 75029?

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 75023 and 75029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75023 and 75029, than apply into the LCM equation.

GCF(75023,75029) = 1
LCM(75023,75029) = ( 75023 × 75029) / 1
LCM(75023,75029) = 5628900667 / 1
LCM(75023,75029) = 5628900667

Least Common Multiple (LCM) of 75023 and 75029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75023 and 75029. First we will calculate the prime factors of 75023 and 75029.

Prime Factorization of 75023

Prime Factorization of 75029

Now multiplying the highest exponent prime factors to calculate the LCM of 75023 and 75029.

LCM(75023,75029) = 13¹ × 29¹ × 199¹ × 75029¹
LCM(75023,75029) = 5628900667