GCF and LCM Calculator Logo

What is the Least Common Multiple of 3747 and 3753?

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 3747 and 3753 is 4687497.

LCM(3747,3753) = 4687497

LCM Calculator and
and

Least Common Multiple of 3747 and 3753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3747 and 3753, than apply into the LCM equation.

GCF(3747,3753) = 3
LCM(3747,3753) = ( 3747 × 3753) / 3
LCM(3747,3753) = 14062491 / 3
LCM(3747,3753) = 4687497

Least Common Multiple (LCM) of 3747 and 3753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3747 and 3753. First we will calculate the prime factors of 3747 and 3753.

Prime Factorization of 3747

Prime factors of 3747 are 3, 1249. Prime factorization of 3747 in exponential form is:

3747 = 31 × 12491

Prime Factorization of 3753

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

3753 = 33 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 3747 and 3753.

LCM(3747,3753) = 33 × 12491 × 1391
LCM(3747,3753) = 4687497