GCF and LCM Calculator Logo

What is the Least Common Multiple of 3753 and 3757?

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 3753 and 3757 is 14100021.

LCM(3753,3757) = 14100021

LCM Calculator and
and

Least Common Multiple of 3753 and 3757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3753 and 3757, than apply into the LCM equation.

GCF(3753,3757) = 1
LCM(3753,3757) = ( 3753 × 3757) / 1
LCM(3753,3757) = 14100021 / 1
LCM(3753,3757) = 14100021

Least Common Multiple (LCM) of 3753 and 3757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3753 and 3757. First we will calculate the prime factors of 3753 and 3757.

Prime Factorization of 3753

Prime factors of 3753 are 3, 139. Prime factorization of 3753 in exponential form is:

3753 = 33 × 1391

Prime Factorization of 3757

Prime factors of 3757 are 13, 17. Prime factorization of 3757 in exponential form is:

3757 = 131 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 3753 and 3757.

LCM(3753,3757) = 33 × 1391 × 131 × 172
LCM(3753,3757) = 14100021