What is the Least Common Multiple of 93995 and 94014?

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 93995 and 94014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93995 and 94014, than apply into the LCM equation.

GCF(93995,94014) = 1
LCM(93995,94014) = ( 93995 × 94014) / 1
LCM(93995,94014) = 8836845930 / 1
LCM(93995,94014) = 8836845930

Least Common Multiple (LCM) of 93995 and 94014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93995 and 94014. First we will calculate the prime factors of 93995 and 94014.

Prime Factorization of 93995

Prime Factorization of 94014

Now multiplying the highest exponent prime factors to calculate the LCM of 93995 and 94014.

LCM(93995,94014) = 5¹ × 11¹ × 1709¹ × 2¹ × 3³ × 1741¹
LCM(93995,94014) = 8836845930