What is the Least Common Multiple of 48924 and 48936?

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 48924 and 48936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48924 and 48936, than apply into the LCM equation.

GCF(48924,48936) = 12
LCM(48924,48936) = ( 48924 × 48936) / 12
LCM(48924,48936) = 2394144864 / 12
LCM(48924,48936) = 199512072

Least Common Multiple (LCM) of 48924 and 48936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48924 and 48936. First we will calculate the prime factors of 48924 and 48936.

Prime Factorization of 48924

Prime Factorization of 48936

Now multiplying the highest exponent prime factors to calculate the LCM of 48924 and 48936.

LCM(48924,48936) = 2³ × 3⁴ × 151¹ × 2039¹
LCM(48924,48936) = 199512072