What is the Least Common Multiple of 54048 and 54053?

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 54048 and 54053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54048 and 54053, than apply into the LCM equation.

GCF(54048,54053) = 1
LCM(54048,54053) = ( 54048 × 54053) / 1
LCM(54048,54053) = 2921456544 / 1
LCM(54048,54053) = 2921456544

Least Common Multiple (LCM) of 54048 and 54053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54048 and 54053. First we will calculate the prime factors of 54048 and 54053.

Prime Factorization of 54048

Prime Factorization of 54053

Now multiplying the highest exponent prime factors to calculate the LCM of 54048 and 54053.

LCM(54048,54053) = 2⁵ × 3¹ × 563¹ × 191¹ × 283¹
LCM(54048,54053) = 2921456544