What is the Least Common Multiple of 94048 and 94054?

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 94048 and 94054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94048 and 94054, than apply into the LCM equation.

GCF(94048,94054) = 2
LCM(94048,94054) = ( 94048 × 94054) / 2
LCM(94048,94054) = 8845590592 / 2
LCM(94048,94054) = 4422795296

Least Common Multiple (LCM) of 94048 and 94054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94048 and 94054. First we will calculate the prime factors of 94048 and 94054.

Prime Factorization of 94048

Prime Factorization of 94054

Now multiplying the highest exponent prime factors to calculate the LCM of 94048 and 94054.

LCM(94048,94054) = 2⁵ × 2939¹ × 31¹ × 37¹ × 41¹
LCM(94048,94054) = 4422795296