What is the Least Common Multiple of 93704 and 93724?

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 93704 and 93724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93704 and 93724, than apply into the LCM equation.

GCF(93704,93724) = 4
LCM(93704,93724) = ( 93704 × 93724) / 4
LCM(93704,93724) = 8782313696 / 4
LCM(93704,93724) = 2195578424

Least Common Multiple (LCM) of 93704 and 93724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93704 and 93724. First we will calculate the prime factors of 93704 and 93724.

Prime Factorization of 93704

Prime Factorization of 93724

Now multiplying the highest exponent prime factors to calculate the LCM of 93704 and 93724.

LCM(93704,93724) = 2³ × 13¹ × 17¹ × 53¹ × 23431¹
LCM(93704,93724) = 2195578424