GCF and LCM Calculator Logo

What is the Least Common Multiple of 3959 and 3976?

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 3959 and 3976 is 15740984.

LCM(3959,3976) = 15740984

LCM Calculator and
and

Least Common Multiple of 3959 and 3976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3959 and 3976, than apply into the LCM equation.

GCF(3959,3976) = 1
LCM(3959,3976) = ( 3959 × 3976) / 1
LCM(3959,3976) = 15740984 / 1
LCM(3959,3976) = 15740984

Least Common Multiple (LCM) of 3959 and 3976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3959 and 3976. First we will calculate the prime factors of 3959 and 3976.

Prime Factorization of 3959

Prime factors of 3959 are 37, 107. Prime factorization of 3959 in exponential form is:

3959 = 371 × 1071

Prime Factorization of 3976

Prime factors of 3976 are 2, 7, 71. Prime factorization of 3976 in exponential form is:

3976 = 23 × 71 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 3959 and 3976.

LCM(3959,3976) = 371 × 1071 × 23 × 71 × 711
LCM(3959,3976) = 15740984