What is the Least Common Multiple of 93928 and 93939?

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 93928 and 93939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93928 and 93939, than apply into the LCM equation.

GCF(93928,93939) = 1
LCM(93928,93939) = ( 93928 × 93939) / 1
LCM(93928,93939) = 8823502392 / 1
LCM(93928,93939) = 8823502392

Least Common Multiple (LCM) of 93928 and 93939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93928 and 93939. First we will calculate the prime factors of 93928 and 93939.

Prime Factorization of 93928

Prime Factorization of 93939

Now multiplying the highest exponent prime factors to calculate the LCM of 93928 and 93939.

LCM(93928,93939) = 2³ × 59¹ × 199¹ × 3¹ × 173¹ × 181¹
LCM(93928,93939) = 8823502392