What is the Least Common Multiple of 38710 and 38729?

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 38710 and 38729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38710 and 38729, than apply into the LCM equation.

GCF(38710,38729) = 1
LCM(38710,38729) = ( 38710 × 38729) / 1
LCM(38710,38729) = 1499199590 / 1
LCM(38710,38729) = 1499199590

Least Common Multiple (LCM) of 38710 and 38729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38710 and 38729. First we will calculate the prime factors of 38710 and 38729.

Prime Factorization of 38710

Prime Factorization of 38729

Now multiplying the highest exponent prime factors to calculate the LCM of 38710 and 38729.

LCM(38710,38729) = 2¹ × 5¹ × 7² × 79¹ × 38729¹
LCM(38710,38729) = 1499199590