What is the Least Common Multiple of 94496 and 94507?

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 94496 and 94507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94496 and 94507, than apply into the LCM equation.

GCF(94496,94507) = 1
LCM(94496,94507) = ( 94496 × 94507) / 1
LCM(94496,94507) = 8930533472 / 1
LCM(94496,94507) = 8930533472

Least Common Multiple (LCM) of 94496 and 94507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94496 and 94507. First we will calculate the prime factors of 94496 and 94507.

Prime Factorization of 94496

Prime Factorization of 94507

Now multiplying the highest exponent prime factors to calculate the LCM of 94496 and 94507.

LCM(94496,94507) = 2⁵ × 2953¹ × 7¹ × 23¹ × 587¹
LCM(94496,94507) = 8930533472