What is the Least Common Multiple of 9039 and 9046?

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 9039 and 9046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9039 and 9046, than apply into the LCM equation.

GCF(9039,9046) = 1
LCM(9039,9046) = ( 9039 × 9046) / 1
LCM(9039,9046) = 81766794 / 1
LCM(9039,9046) = 81766794

Least Common Multiple (LCM) of 9039 and 9046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9039 and 9046. First we will calculate the prime factors of 9039 and 9046.

Prime Factorization of 9039

Prime Factorization of 9046

Now multiplying the highest exponent prime factors to calculate the LCM of 9039 and 9046.

LCM(9039,9046) = 3¹ × 23¹ × 131¹ × 2¹ × 4523¹
LCM(9039,9046) = 81766794