What is the Least Common Multiple of 96084 and 96094?

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 96084 and 96094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96084 and 96094, than apply into the LCM equation.

GCF(96084,96094) = 2
LCM(96084,96094) = ( 96084 × 96094) / 2
LCM(96084,96094) = 9233095896 / 2
LCM(96084,96094) = 4616547948

Least Common Multiple (LCM) of 96084 and 96094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96084 and 96094. First we will calculate the prime factors of 96084 and 96094.

Prime Factorization of 96084

Prime Factorization of 96094

Now multiplying the highest exponent prime factors to calculate the LCM of 96084 and 96094.

LCM(96084,96094) = 2² × 3² × 17¹ × 157¹ × 23¹ × 2089¹
LCM(96084,96094) = 4616547948