What is the Least Common Multiple of 39028 and 39043?

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 39028 and 39043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39028 and 39043, than apply into the LCM equation.

GCF(39028,39043) = 1
LCM(39028,39043) = ( 39028 × 39043) / 1
LCM(39028,39043) = 1523770204 / 1
LCM(39028,39043) = 1523770204

Least Common Multiple (LCM) of 39028 and 39043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39028 and 39043. First we will calculate the prime factors of 39028 and 39043.

Prime Factorization of 39028

Prime Factorization of 39043

Now multiplying the highest exponent prime factors to calculate the LCM of 39028 and 39043.

LCM(39028,39043) = 2² × 11¹ × 887¹ × 39043¹
LCM(39028,39043) = 1523770204