What is the Least Common Multiple of 54048 and 54052?

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 54052 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 54052, than apply into the LCM equation.

GCF(54048,54052) = 4
LCM(54048,54052) = ( 54048 × 54052) / 4
LCM(54048,54052) = 2921402496 / 4
LCM(54048,54052) = 730350624

Least Common Multiple (LCM) of 54048 and 54052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54048 and 54052. First we will calculate the prime factors of 54048 and 54052.

Prime Factorization of 54048

Prime Factorization of 54052

Now multiplying the highest exponent prime factors to calculate the LCM of 54048 and 54052.

LCM(54048,54052) = 2⁵ × 3¹ × 563¹ × 13513¹
LCM(54048,54052) = 730350624