What is the Least Common Multiple of 75006 and 75026?

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 75006 and 75026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75006 and 75026, than apply into the LCM equation.

GCF(75006,75026) = 2
LCM(75006,75026) = ( 75006 × 75026) / 2
LCM(75006,75026) = 5627400156 / 2
LCM(75006,75026) = 2813700078

Least Common Multiple (LCM) of 75006 and 75026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75006 and 75026. First we will calculate the prime factors of 75006 and 75026.

Prime Factorization of 75006

Prime Factorization of 75026

Now multiplying the highest exponent prime factors to calculate the LCM of 75006 and 75026.

LCM(75006,75026) = 2¹ × 3⁴ × 463¹ × 7¹ × 23¹ × 233¹
LCM(75006,75026) = 2813700078