What is the Least Common Multiple of 3892 and 3903?

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 3892 and 3903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3892 and 3903, than apply into the LCM equation.

GCF(3892,3903) = 1
LCM(3892,3903) = ( 3892 × 3903) / 1
LCM(3892,3903) = 15190476 / 1
LCM(3892,3903) = 15190476

Least Common Multiple (LCM) of 3892 and 3903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3892 and 3903. First we will calculate the prime factors of 3892 and 3903.

Prime Factorization of 3892

Prime Factorization of 3903

Now multiplying the highest exponent prime factors to calculate the LCM of 3892 and 3903.

LCM(3892,3903) = 2² × 7¹ × 139¹ × 3¹ × 1301¹
LCM(3892,3903) = 15190476