What is the Least Common Multiple of 3878 and 3896?

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 3878 and 3896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3878 and 3896, than apply into the LCM equation.

GCF(3878,3896) = 2
LCM(3878,3896) = ( 3878 × 3896) / 2
LCM(3878,3896) = 15108688 / 2
LCM(3878,3896) = 7554344

Least Common Multiple (LCM) of 3878 and 3896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3878 and 3896. First we will calculate the prime factors of 3878 and 3896.

Prime Factorization of 3878

Prime Factorization of 3896

Now multiplying the highest exponent prime factors to calculate the LCM of 3878 and 3896.

LCM(3878,3896) = 2³ × 7¹ × 277¹ × 487¹
LCM(3878,3896) = 7554344