What is the Least Common Multiple of 54786 and 54804?

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 54786 and 54804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54786 and 54804, than apply into the LCM equation.

GCF(54786,54804) = 6
LCM(54786,54804) = ( 54786 × 54804) / 6
LCM(54786,54804) = 3002491944 / 6
LCM(54786,54804) = 500415324

Least Common Multiple (LCM) of 54786 and 54804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54786 and 54804. First we will calculate the prime factors of 54786 and 54804.

Prime Factorization of 54786

Prime Factorization of 54804

Now multiplying the highest exponent prime factors to calculate the LCM of 54786 and 54804.

LCM(54786,54804) = 2² × 3¹ × 23¹ × 397¹ × 4567¹
LCM(54786,54804) = 500415324