GCF and LCM Calculator Logo

What is the Least Common Multiple of 3952 and 3964?

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 (LCM) of 3952 and 3964 is 3916432.

LCM(3952,3964) = 3916432

LCM Calculator and
and

Least Common Multiple of 3952 and 3964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3952 and 3964, than apply into the LCM equation.

GCF(3952,3964) = 4
LCM(3952,3964) = ( 3952 × 3964) / 4
LCM(3952,3964) = 15665728 / 4
LCM(3952,3964) = 3916432

Least Common Multiple (LCM) of 3952 and 3964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3952 and 3964. First we will calculate the prime factors of 3952 and 3964.

Prime Factorization of 3952

Prime factors of 3952 are 2, 13, 19. Prime factorization of 3952 in exponential form is:

3952 = 24 × 131 × 191

Prime Factorization of 3964

Prime factors of 3964 are 2, 991. Prime factorization of 3964 in exponential form is:

3964 = 22 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 3952 and 3964.

LCM(3952,3964) = 24 × 131 × 191 × 9911
LCM(3952,3964) = 3916432