What is the Least Common Multiple of 39054 and 39072?

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 39054 and 39072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39054 and 39072, than apply into the LCM equation.

GCF(39054,39072) = 6
LCM(39054,39072) = ( 39054 × 39072) / 6
LCM(39054,39072) = 1525917888 / 6
LCM(39054,39072) = 254319648

Least Common Multiple (LCM) of 39054 and 39072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39054 and 39072. First we will calculate the prime factors of 39054 and 39072.

Prime Factorization of 39054

Prime Factorization of 39072

Now multiplying the highest exponent prime factors to calculate the LCM of 39054 and 39072.

LCM(39054,39072) = 2⁵ × 3¹ × 23¹ × 283¹ × 11¹ × 37¹
LCM(39054,39072) = 254319648