What is the Least Common Multiple of 93844 and 93854?

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 93844 and 93854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93844 and 93854, than apply into the LCM equation.

GCF(93844,93854) = 2
LCM(93844,93854) = ( 93844 × 93854) / 2
LCM(93844,93854) = 8807634776 / 2
LCM(93844,93854) = 4403817388

Least Common Multiple (LCM) of 93844 and 93854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93844 and 93854. First we will calculate the prime factors of 93844 and 93854.

Prime Factorization of 93844

Prime Factorization of 93854

Now multiplying the highest exponent prime factors to calculate the LCM of 93844 and 93854.

LCM(93844,93854) = 2² × 29¹ × 809¹ × 167¹ × 281¹
LCM(93844,93854) = 4403817388