What is the Least Common Multiple of 96781 and 96794?

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 96781 and 96794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96781 and 96794, than apply into the LCM equation.

GCF(96781,96794) = 1
LCM(96781,96794) = ( 96781 × 96794) / 1
LCM(96781,96794) = 9367820114 / 1
LCM(96781,96794) = 9367820114

Least Common Multiple (LCM) of 96781 and 96794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96781 and 96794. First we will calculate the prime factors of 96781 and 96794.

Prime Factorization of 96781

Prime Factorization of 96794

Now multiplying the highest exponent prime factors to calculate the LCM of 96781 and 96794.

LCM(96781,96794) = 17¹ × 5693¹ × 2¹ × 48397¹
LCM(96781,96794) = 9367820114