What is the Least Common Multiple of 37665 and 37681?

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 37665 and 37681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37665 and 37681, than apply into the LCM equation.

GCF(37665,37681) = 1
LCM(37665,37681) = ( 37665 × 37681) / 1
LCM(37665,37681) = 1419254865 / 1
LCM(37665,37681) = 1419254865

Least Common Multiple (LCM) of 37665 and 37681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37665 and 37681. First we will calculate the prime factors of 37665 and 37681.

Prime Factorization of 37665

Prime Factorization of 37681

Now multiplying the highest exponent prime factors to calculate the LCM of 37665 and 37681.

LCM(37665,37681) = 3⁵ × 5¹ × 31¹ × 7² × 769¹
LCM(37665,37681) = 1419254865