What is the Least Common Multiple of 93856 and 93870?

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 93870 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 93870, than apply into the LCM equation.

GCF(93856,93870) = 14
LCM(93856,93870) = ( 93856 × 93870) / 14
LCM(93856,93870) = 8810262720 / 14
LCM(93856,93870) = 629304480

Least Common Multiple (LCM) of 93856 and 93870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93856 and 93870. First we will calculate the prime factors of 93856 and 93870.

Prime Factorization of 93856

Prime Factorization of 93870

Now multiplying the highest exponent prime factors to calculate the LCM of 93856 and 93870.

LCM(93856,93870) = 2⁵ × 7¹ × 419¹ × 3² × 5¹ × 149¹
LCM(93856,93870) = 629304480