What is the Least Common Multiple of 15924 and 15936?

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 15924 and 15936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15924 and 15936, than apply into the LCM equation.

GCF(15924,15936) = 12
LCM(15924,15936) = ( 15924 × 15936) / 12
LCM(15924,15936) = 253764864 / 12
LCM(15924,15936) = 21147072

Least Common Multiple (LCM) of 15924 and 15936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15924 and 15936. First we will calculate the prime factors of 15924 and 15936.

Prime Factorization of 15924

Prime Factorization of 15936

Now multiplying the highest exponent prime factors to calculate the LCM of 15924 and 15936.

LCM(15924,15936) = 2⁶ × 3¹ × 1327¹ × 83¹
LCM(15924,15936) = 21147072