What is the Least Common Multiple of 39876 and 39881?

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 39881 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 39881, than apply into the LCM equation.

GCF(39876,39881) = 1
LCM(39876,39881) = ( 39876 × 39881) / 1
LCM(39876,39881) = 1590294756 / 1
LCM(39876,39881) = 1590294756

Least Common Multiple (LCM) of 39876 and 39881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39876 and 39881. First we will calculate the prime factors of 39876 and 39881.

Prime Factorization of 39876

Prime Factorization of 39881

Now multiplying the highest exponent prime factors to calculate the LCM of 39876 and 39881.

LCM(39876,39881) = 2² × 3¹ × 3323¹ × 19¹ × 2099¹
LCM(39876,39881) = 1590294756