What is the Least Common Multiple of 10048 and 10054?

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 10048 and 10054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10048 and 10054, than apply into the LCM equation.

GCF(10048,10054) = 2
LCM(10048,10054) = ( 10048 × 10054) / 2
LCM(10048,10054) = 101022592 / 2
LCM(10048,10054) = 50511296

Least Common Multiple (LCM) of 10048 and 10054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10048 and 10054. First we will calculate the prime factors of 10048 and 10054.

Prime Factorization of 10048

Prime Factorization of 10054

Now multiplying the highest exponent prime factors to calculate the LCM of 10048 and 10054.

LCM(10048,10054) = 2⁶ × 157¹ × 11¹ × 457¹
LCM(10048,10054) = 50511296