What is the Least Common Multiple of 54096 and 54103?

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 54096 and 54103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54096 and 54103, than apply into the LCM equation.

GCF(54096,54103) = 7
LCM(54096,54103) = ( 54096 × 54103) / 7
LCM(54096,54103) = 2926755888 / 7
LCM(54096,54103) = 418107984

Least Common Multiple (LCM) of 54096 and 54103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54096 and 54103. First we will calculate the prime factors of 54096 and 54103.

Prime Factorization of 54096

Prime Factorization of 54103

Now multiplying the highest exponent prime factors to calculate the LCM of 54096 and 54103.

LCM(54096,54103) = 2⁴ × 3¹ × 7² × 23¹ × 59¹ × 131¹
LCM(54096,54103) = 418107984