GCF and LCM Calculator Logo

What is the Least Common Multiple of 3752 and 3761?

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 3752 and 3761 is 14111272.

LCM(3752,3761) = 14111272

LCM Calculator and
and

Least Common Multiple of 3752 and 3761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3752 and 3761, than apply into the LCM equation.

GCF(3752,3761) = 1
LCM(3752,3761) = ( 3752 × 3761) / 1
LCM(3752,3761) = 14111272 / 1
LCM(3752,3761) = 14111272

Least Common Multiple (LCM) of 3752 and 3761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3752 and 3761. First we will calculate the prime factors of 3752 and 3761.

Prime Factorization of 3752

Prime factors of 3752 are 2, 7, 67. Prime factorization of 3752 in exponential form is:

3752 = 23 × 71 × 671

Prime Factorization of 3761

Prime factors of 3761 are 3761. Prime factorization of 3761 in exponential form is:

3761 = 37611

Now multiplying the highest exponent prime factors to calculate the LCM of 3752 and 3761.

LCM(3752,3761) = 23 × 71 × 671 × 37611
LCM(3752,3761) = 14111272