What is the Least Common Multiple of 93784 and 93788?

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 93784 and 93788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93784 and 93788, than apply into the LCM equation.

GCF(93784,93788) = 4
LCM(93784,93788) = ( 93784 × 93788) / 4
LCM(93784,93788) = 8795813792 / 4
LCM(93784,93788) = 2198953448

Least Common Multiple (LCM) of 93784 and 93788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93784 and 93788. First we will calculate the prime factors of 93784 and 93788.

Prime Factorization of 93784

Prime Factorization of 93788

Now multiplying the highest exponent prime factors to calculate the LCM of 93784 and 93788.

LCM(93784,93788) = 2³ × 19¹ × 617¹ × 23447¹
LCM(93784,93788) = 2198953448