What is the Least Common Multiple of 39072 and 39082?

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 39082 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 39082, than apply into the LCM equation.

GCF(39072,39082) = 2
LCM(39072,39082) = ( 39072 × 39082) / 2
LCM(39072,39082) = 1527011904 / 2
LCM(39072,39082) = 763505952

Least Common Multiple (LCM) of 39072 and 39082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39072 and 39082. First we will calculate the prime factors of 39072 and 39082.

Prime Factorization of 39072

Prime Factorization of 39082

Now multiplying the highest exponent prime factors to calculate the LCM of 39072 and 39082.

LCM(39072,39082) = 2⁵ × 3¹ × 11¹ × 37¹ × 19541¹
LCM(39072,39082) = 763505952