GCF and LCM Calculator Logo

What is the Least Common Multiple of 3759 and 3777?

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 3759 and 3777 is 4732581.

LCM(3759,3777) = 4732581

LCM Calculator and
and

Least Common Multiple of 3759 and 3777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3759 and 3777, than apply into the LCM equation.

GCF(3759,3777) = 3
LCM(3759,3777) = ( 3759 × 3777) / 3
LCM(3759,3777) = 14197743 / 3
LCM(3759,3777) = 4732581

Least Common Multiple (LCM) of 3759 and 3777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3759 and 3777. First we will calculate the prime factors of 3759 and 3777.

Prime Factorization of 3759

Prime factors of 3759 are 3, 7, 179. Prime factorization of 3759 in exponential form is:

3759 = 31 × 71 × 1791

Prime Factorization of 3777

Prime factors of 3777 are 3, 1259. Prime factorization of 3777 in exponential form is:

3777 = 31 × 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 3759 and 3777.

LCM(3759,3777) = 31 × 71 × 1791 × 12591
LCM(3759,3777) = 4732581