What is the Least Common Multiple of 3964 and 3973?

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 3964 and 3973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3964 and 3973, than apply into the LCM equation.

GCF(3964,3973) = 1
LCM(3964,3973) = ( 3964 × 3973) / 1
LCM(3964,3973) = 15748972 / 1
LCM(3964,3973) = 15748972

Least Common Multiple (LCM) of 3964 and 3973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3964 and 3973. First we will calculate the prime factors of 3964 and 3973.

Prime Factorization of 3964

Prime Factorization of 3973

Now multiplying the highest exponent prime factors to calculate the LCM of 3964 and 3973.

LCM(3964,3973) = 2² × 991¹ × 29¹ × 137¹
LCM(3964,3973) = 15748972