What is the Least Common Multiple of 37785 and 37805?

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 37785 and 37805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37785 and 37805, than apply into the LCM equation.

GCF(37785,37805) = 5
LCM(37785,37805) = ( 37785 × 37805) / 5
LCM(37785,37805) = 1428461925 / 5
LCM(37785,37805) = 285692385

Least Common Multiple (LCM) of 37785 and 37805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37785 and 37805. First we will calculate the prime factors of 37785 and 37805.

Prime Factorization of 37785

Prime Factorization of 37805

Now multiplying the highest exponent prime factors to calculate the LCM of 37785 and 37805.

LCM(37785,37805) = 3¹ × 5¹ × 11¹ × 229¹ × 7561¹
LCM(37785,37805) = 285692385