What is the Least Common Multiple of 93856 and 93868?

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 93856 and 93868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93856 and 93868, than apply into the LCM equation.

GCF(93856,93868) = 4
LCM(93856,93868) = ( 93856 × 93868) / 4
LCM(93856,93868) = 8810075008 / 4
LCM(93856,93868) = 2202518752

Least Common Multiple (LCM) of 93856 and 93868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93856 and 93868. First we will calculate the prime factors of 93856 and 93868.

Prime Factorization of 93856

Prime Factorization of 93868

Now multiplying the highest exponent prime factors to calculate the LCM of 93856 and 93868.

LCM(93856,93868) = 2⁵ × 7¹ × 419¹ × 31¹ × 757¹
LCM(93856,93868) = 2202518752