What is the Least Common Multiple of 39072 and 39077?

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 39072 and 39077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39072 and 39077, than apply into the LCM equation.

GCF(39072,39077) = 1
LCM(39072,39077) = ( 39072 × 39077) / 1
LCM(39072,39077) = 1526816544 / 1
LCM(39072,39077) = 1526816544

Least Common Multiple (LCM) of 39072 and 39077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39072 and 39077. First we will calculate the prime factors of 39072 and 39077.

Prime Factorization of 39072

Prime Factorization of 39077

Now multiplying the highest exponent prime factors to calculate the LCM of 39072 and 39077.

LCM(39072,39077) = 2⁵ × 3¹ × 11¹ × 37¹ × 23¹ × 1699¹
LCM(39072,39077) = 1526816544