What is the Least Common Multiple of 90702 and 90717?

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 90702 and 90717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90702 and 90717, than apply into the LCM equation.

GCF(90702,90717) = 3
LCM(90702,90717) = ( 90702 × 90717) / 3
LCM(90702,90717) = 8228213334 / 3
LCM(90702,90717) = 2742737778

Least Common Multiple (LCM) of 90702 and 90717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90702 and 90717. First we will calculate the prime factors of 90702 and 90717.

Prime Factorization of 90702

Prime Factorization of 90717

Now multiplying the highest exponent prime factors to calculate the LCM of 90702 and 90717.

LCM(90702,90717) = 2¹ × 3² × 5039¹ × 11¹ × 2749¹
LCM(90702,90717) = 2742737778