What is the Least Common Multiple of 39876 and 39888?

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 39876 and 39888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39876 and 39888, than apply into the LCM equation.

GCF(39876,39888) = 12
LCM(39876,39888) = ( 39876 × 39888) / 12
LCM(39876,39888) = 1590573888 / 12
LCM(39876,39888) = 132547824

Least Common Multiple (LCM) of 39876 and 39888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39876 and 39888. First we will calculate the prime factors of 39876 and 39888.

Prime Factorization of 39876

Prime Factorization of 39888

Now multiplying the highest exponent prime factors to calculate the LCM of 39876 and 39888.

LCM(39876,39888) = 2⁴ × 3² × 3323¹ × 277¹
LCM(39876,39888) = 132547824