What is the Least Common Multiple of 38014 and 38033?

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 38014 and 38033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38014 and 38033, than apply into the LCM equation.

GCF(38014,38033) = 1
LCM(38014,38033) = ( 38014 × 38033) / 1
LCM(38014,38033) = 1445786462 / 1
LCM(38014,38033) = 1445786462

Least Common Multiple (LCM) of 38014 and 38033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38014 and 38033. First we will calculate the prime factors of 38014 and 38033.

Prime Factorization of 38014

Prime Factorization of 38033

Now multiplying the highest exponent prime factors to calculate the LCM of 38014 and 38033.

LCM(38014,38033) = 2¹ × 83¹ × 229¹ × 73¹ × 521¹
LCM(38014,38033) = 1445786462