What is the Least Common Multiple of 53049 and 53053?

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 53049 and 53053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53049 and 53053, than apply into the LCM equation.

GCF(53049,53053) = 1
LCM(53049,53053) = ( 53049 × 53053) / 1
LCM(53049,53053) = 2814408597 / 1
LCM(53049,53053) = 2814408597

Least Common Multiple (LCM) of 53049 and 53053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53049 and 53053. First we will calculate the prime factors of 53049 and 53053.

Prime Factorization of 53049

Prime Factorization of 53053

Now multiplying the highest exponent prime factors to calculate the LCM of 53049 and 53053.

LCM(53049,53053) = 3¹ × 17683¹ × 7¹ × 11¹ × 13¹ × 53¹
LCM(53049,53053) = 2814408597