What is the Least Common Multiple of 27924 and 27936?

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 27924 and 27936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27924 and 27936, than apply into the LCM equation.

GCF(27924,27936) = 12
LCM(27924,27936) = ( 27924 × 27936) / 12
LCM(27924,27936) = 780084864 / 12
LCM(27924,27936) = 65007072

Least Common Multiple (LCM) of 27924 and 27936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27924 and 27936. First we will calculate the prime factors of 27924 and 27936.

Prime Factorization of 27924

Prime Factorization of 27936

Now multiplying the highest exponent prime factors to calculate the LCM of 27924 and 27936.

LCM(27924,27936) = 2⁵ × 3² × 13¹ × 179¹ × 97¹
LCM(27924,27936) = 65007072