What is the Least Common Multiple of 32048 and 32054?

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 32048 and 32054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32048 and 32054, than apply into the LCM equation.

GCF(32048,32054) = 2
LCM(32048,32054) = ( 32048 × 32054) / 2
LCM(32048,32054) = 1027266592 / 2
LCM(32048,32054) = 513633296

Least Common Multiple (LCM) of 32048 and 32054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32048 and 32054. First we will calculate the prime factors of 32048 and 32054.

Prime Factorization of 32048

Prime Factorization of 32054

Now multiplying the highest exponent prime factors to calculate the LCM of 32048 and 32054.

LCM(32048,32054) = 2⁴ × 2003¹ × 11¹ × 31¹ × 47¹
LCM(32048,32054) = 513633296