What is the Least Common Multiple of 93936 and 93943?

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 93936 and 93943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93936 and 93943, than apply into the LCM equation.

GCF(93936,93943) = 1
LCM(93936,93943) = ( 93936 × 93943) / 1
LCM(93936,93943) = 8824629648 / 1
LCM(93936,93943) = 8824629648

Least Common Multiple (LCM) of 93936 and 93943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93936 and 93943. First we will calculate the prime factors of 93936 and 93943.

Prime Factorization of 93936

Prime Factorization of 93943

Now multiplying the highest exponent prime factors to calculate the LCM of 93936 and 93943.

LCM(93936,93943) = 2⁴ × 3¹ × 19¹ × 103¹ × 37¹ × 2539¹
LCM(93936,93943) = 8824629648