What is the Least Common Multiple of 93856 and 93869?

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 93869 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 93869, than apply into the LCM equation.

GCF(93856,93869) = 1
LCM(93856,93869) = ( 93856 × 93869) / 1
LCM(93856,93869) = 8810168864 / 1
LCM(93856,93869) = 8810168864

Least Common Multiple (LCM) of 93856 and 93869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93856 and 93869. First we will calculate the prime factors of 93856 and 93869.

Prime Factorization of 93856

Prime Factorization of 93869

Now multiplying the highest exponent prime factors to calculate the LCM of 93856 and 93869.

LCM(93856,93869) = 2⁵ × 7¹ × 419¹ × 37¹ × 43¹ × 59¹
LCM(93856,93869) = 8810168864