What is the Least Common Multiple of 88790 and 88794?

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 88790 and 88794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88790 and 88794, than apply into the LCM equation.

GCF(88790,88794) = 2
LCM(88790,88794) = ( 88790 × 88794) / 2
LCM(88790,88794) = 7884019260 / 2
LCM(88790,88794) = 3942009630

Least Common Multiple (LCM) of 88790 and 88794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88790 and 88794. First we will calculate the prime factors of 88790 and 88794.

Prime Factorization of 88790

Prime Factorization of 88794

Now multiplying the highest exponent prime factors to calculate the LCM of 88790 and 88794.

LCM(88790,88794) = 2¹ × 5¹ × 13¹ × 683¹ × 3² × 4933¹
LCM(88790,88794) = 3942009630