What is the Least Common Multiple of 37566 and 37585?

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 37566 and 37585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37566 and 37585, than apply into the LCM equation.

GCF(37566,37585) = 1
LCM(37566,37585) = ( 37566 × 37585) / 1
LCM(37566,37585) = 1411918110 / 1
LCM(37566,37585) = 1411918110

Least Common Multiple (LCM) of 37566 and 37585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37566 and 37585. First we will calculate the prime factors of 37566 and 37585.

Prime Factorization of 37566

Prime Factorization of 37585

Now multiplying the highest exponent prime factors to calculate the LCM of 37566 and 37585.

LCM(37566,37585) = 2¹ × 3² × 2087¹ × 5¹ × 7517¹
LCM(37566,37585) = 1411918110