What is the Least Common Multiple of 38493 and 38506?

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 38493 and 38506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38493 and 38506, than apply into the LCM equation.

GCF(38493,38506) = 13
LCM(38493,38506) = ( 38493 × 38506) / 13
LCM(38493,38506) = 1482211458 / 13
LCM(38493,38506) = 114016266

Least Common Multiple (LCM) of 38493 and 38506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38493 and 38506. First we will calculate the prime factors of 38493 and 38506.

Prime Factorization of 38493

Prime Factorization of 38506

Now multiplying the highest exponent prime factors to calculate the LCM of 38493 and 38506.

LCM(38493,38506) = 3² × 7¹ × 13¹ × 47¹ × 2¹ × 1481¹
LCM(38493,38506) = 114016266