What is the Least Common Multiple of 3876 and 3895?

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 3876 and 3895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3876 and 3895, than apply into the LCM equation.

GCF(3876,3895) = 19
LCM(3876,3895) = ( 3876 × 3895) / 19
LCM(3876,3895) = 15097020 / 19
LCM(3876,3895) = 794580

Least Common Multiple (LCM) of 3876 and 3895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3876 and 3895. First we will calculate the prime factors of 3876 and 3895.

Prime Factorization of 3876

Prime Factorization of 3895

Now multiplying the highest exponent prime factors to calculate the LCM of 3876 and 3895.

LCM(3876,3895) = 2² × 3¹ × 17¹ × 19¹ × 5¹ × 41¹
LCM(3876,3895) = 794580