What is the Least Common Multiple of 3852 and 3869?

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 3852 and 3869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3852 and 3869, than apply into the LCM equation.

GCF(3852,3869) = 1
LCM(3852,3869) = ( 3852 × 3869) / 1
LCM(3852,3869) = 14903388 / 1
LCM(3852,3869) = 14903388

Least Common Multiple (LCM) of 3852 and 3869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3852 and 3869. First we will calculate the prime factors of 3852 and 3869.

Prime Factorization of 3852

Prime Factorization of 3869

Now multiplying the highest exponent prime factors to calculate the LCM of 3852 and 3869.

LCM(3852,3869) = 2² × 3² × 107¹ × 53¹ × 73¹
LCM(3852,3869) = 14903388