What is the Least Common Multiple of 94044 and 94048?

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 94044 and 94048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94044 and 94048, than apply into the LCM equation.

GCF(94044,94048) = 4
LCM(94044,94048) = ( 94044 × 94048) / 4
LCM(94044,94048) = 8844650112 / 4
LCM(94044,94048) = 2211162528

Least Common Multiple (LCM) of 94044 and 94048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94044 and 94048. First we will calculate the prime factors of 94044 and 94048.

Prime Factorization of 94044

Prime Factorization of 94048

Now multiplying the highest exponent prime factors to calculate the LCM of 94044 and 94048.

LCM(94044,94048) = 2⁵ × 3¹ × 17¹ × 461¹ × 2939¹
LCM(94044,94048) = 2211162528