What is the Least Common Multiple of 3762 and 3774?

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 of 3762 and 3774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3762 and 3774, than apply into the LCM equation.

GCF(3762,3774) = 6
LCM(3762,3774) = ( 3762 × 3774) / 6
LCM(3762,3774) = 14197788 / 6
LCM(3762,3774) = 2366298

Least Common Multiple (LCM) of 3762 and 3774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3762 and 3774. First we will calculate the prime factors of 3762 and 3774.

Prime Factorization of 3762

Prime Factorization of 3774

Now multiplying the highest exponent prime factors to calculate the LCM of 3762 and 3774.

LCM(3762,3774) = 2¹ × 3² × 11¹ × 19¹ × 17¹ × 37¹
LCM(3762,3774) = 2366298