What is the Least Common Multiple of 73006 and 73025?

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 73006 and 73025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73006 and 73025, than apply into the LCM equation.

GCF(73006,73025) = 1
LCM(73006,73025) = ( 73006 × 73025) / 1
LCM(73006,73025) = 5331263150 / 1
LCM(73006,73025) = 5331263150

Least Common Multiple (LCM) of 73006 and 73025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73006 and 73025. First we will calculate the prime factors of 73006 and 73025.

Prime Factorization of 73006

Prime Factorization of 73025

Now multiplying the highest exponent prime factors to calculate the LCM of 73006 and 73025.

LCM(73006,73025) = 2¹ × 173¹ × 211¹ × 5² × 23¹ × 127¹
LCM(73006,73025) = 5331263150