What is the Least Common Multiple of 96786 and 96790?

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 96786 and 96790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96786 and 96790, than apply into the LCM equation.

GCF(96786,96790) = 2
LCM(96786,96790) = ( 96786 × 96790) / 2
LCM(96786,96790) = 9367916940 / 2
LCM(96786,96790) = 4683958470

Least Common Multiple (LCM) of 96786 and 96790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96786 and 96790. First we will calculate the prime factors of 96786 and 96790.

Prime Factorization of 96786

Prime Factorization of 96790

Now multiplying the highest exponent prime factors to calculate the LCM of 96786 and 96790.

LCM(96786,96790) = 2¹ × 3² × 19¹ × 283¹ × 5¹ × 9679¹
LCM(96786,96790) = 4683958470