What is the Least Common Multiple of 53019 and 53038?

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 53019 and 53038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53019 and 53038, than apply into the LCM equation.

GCF(53019,53038) = 1
LCM(53019,53038) = ( 53019 × 53038) / 1
LCM(53019,53038) = 2812021722 / 1
LCM(53019,53038) = 2812021722

Least Common Multiple (LCM) of 53019 and 53038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53019 and 53038. First we will calculate the prime factors of 53019 and 53038.

Prime Factorization of 53019

Prime Factorization of 53038

Now multiplying the highest exponent prime factors to calculate the LCM of 53019 and 53038.

LCM(53019,53038) = 3² × 43¹ × 137¹ × 2¹ × 23¹ × 1153¹
LCM(53019,53038) = 2812021722