What is the Least Common Multiple of 73026 and 73039?

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 73026 and 73039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73026 and 73039, than apply into the LCM equation.

GCF(73026,73039) = 1
LCM(73026,73039) = ( 73026 × 73039) / 1
LCM(73026,73039) = 5333746014 / 1
LCM(73026,73039) = 5333746014

Least Common Multiple (LCM) of 73026 and 73039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73026 and 73039. First we will calculate the prime factors of 73026 and 73039.

Prime Factorization of 73026

Prime Factorization of 73039

Now multiplying the highest exponent prime factors to calculate the LCM of 73026 and 73039.

LCM(73026,73039) = 2¹ × 3² × 4057¹ × 73039¹
LCM(73026,73039) = 5333746014