What is the Least Common Multiple of 93824 and 93828?

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 93824 and 93828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93824 and 93828, than apply into the LCM equation.

GCF(93824,93828) = 4
LCM(93824,93828) = ( 93824 × 93828) / 4
LCM(93824,93828) = 8803318272 / 4
LCM(93824,93828) = 2200829568

Least Common Multiple (LCM) of 93824 and 93828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93824 and 93828. First we will calculate the prime factors of 93824 and 93828.

Prime Factorization of 93824

Prime Factorization of 93828

Now multiplying the highest exponent prime factors to calculate the LCM of 93824 and 93828.

LCM(93824,93828) = 2⁷ × 733¹ × 3¹ × 7¹ × 1117¹
LCM(93824,93828) = 2200829568