What is the Least Common Multiple of 54084 and 54094?

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 54084 and 54094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54084 and 54094, than apply into the LCM equation.

GCF(54084,54094) = 2
LCM(54084,54094) = ( 54084 × 54094) / 2
LCM(54084,54094) = 2925619896 / 2
LCM(54084,54094) = 1462809948

Least Common Multiple (LCM) of 54084 and 54094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54084 and 54094. First we will calculate the prime factors of 54084 and 54094.

Prime Factorization of 54084

Prime Factorization of 54094

Now multiplying the highest exponent prime factors to calculate the LCM of 54084 and 54094.

LCM(54084,54094) = 2² × 3¹ × 4507¹ × 17¹ × 37¹ × 43¹
LCM(54084,54094) = 1462809948