What is the Least Common Multiple of 38302 and 38307?

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 38302 and 38307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38302 and 38307, than apply into the LCM equation.

GCF(38302,38307) = 1
LCM(38302,38307) = ( 38302 × 38307) / 1
LCM(38302,38307) = 1467234714 / 1
LCM(38302,38307) = 1467234714

Least Common Multiple (LCM) of 38302 and 38307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38302 and 38307. First we will calculate the prime factors of 38302 and 38307.

Prime Factorization of 38302

Prime Factorization of 38307

Now multiplying the highest exponent prime factors to calculate the LCM of 38302 and 38307.

LCM(38302,38307) = 2¹ × 11¹ × 1741¹ × 3¹ × 113²
LCM(38302,38307) = 1467234714