What is the Least Common Multiple of 53038 and 53043?

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 53038 and 53043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53038 and 53043, than apply into the LCM equation.

GCF(53038,53043) = 1
LCM(53038,53043) = ( 53038 × 53043) / 1
LCM(53038,53043) = 2813294634 / 1
LCM(53038,53043) = 2813294634

Least Common Multiple (LCM) of 53038 and 53043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53038 and 53043. First we will calculate the prime factors of 53038 and 53043.

Prime Factorization of 53038

Prime Factorization of 53043

Now multiplying the highest exponent prime factors to calculate the LCM of 53038 and 53043.

LCM(53038,53043) = 2¹ × 23¹ × 1153¹ × 3¹ × 17681¹
LCM(53038,53043) = 2813294634