What is the Least Common Multiple of 93924 and 93936?

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 93924 and 93936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93924 and 93936, than apply into the LCM equation.

GCF(93924,93936) = 12
LCM(93924,93936) = ( 93924 × 93936) / 12
LCM(93924,93936) = 8822844864 / 12
LCM(93924,93936) = 735237072

Least Common Multiple (LCM) of 93924 and 93936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93924 and 93936. First we will calculate the prime factors of 93924 and 93936.

Prime Factorization of 93924

Prime Factorization of 93936

Now multiplying the highest exponent prime factors to calculate the LCM of 93924 and 93936.

LCM(93924,93936) = 2⁴ × 3² × 2609¹ × 19¹ × 103¹
LCM(93924,93936) = 735237072