What is the Least Common Multiple of 37819 and 37831?

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 37819 and 37831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37819 and 37831, than apply into the LCM equation.

GCF(37819,37831) = 1
LCM(37819,37831) = ( 37819 × 37831) / 1
LCM(37819,37831) = 1430730589 / 1
LCM(37819,37831) = 1430730589

Least Common Multiple (LCM) of 37819 and 37831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37819 and 37831. First we will calculate the prime factors of 37819 and 37831.

Prime Factorization of 37819

Prime Factorization of 37831

Now multiplying the highest exponent prime factors to calculate the LCM of 37819 and 37831.

LCM(37819,37831) = 59¹ × 641¹ × 37831¹
LCM(37819,37831) = 1430730589