What is the Least Common Multiple of 53010 and 53019?

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 53010 and 53019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53010 and 53019, than apply into the LCM equation.

GCF(53010,53019) = 9
LCM(53010,53019) = ( 53010 × 53019) / 9
LCM(53010,53019) = 2810537190 / 9
LCM(53010,53019) = 312281910

Least Common Multiple (LCM) of 53010 and 53019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53010 and 53019. First we will calculate the prime factors of 53010 and 53019.

Prime Factorization of 53010

Prime Factorization of 53019

Now multiplying the highest exponent prime factors to calculate the LCM of 53010 and 53019.

LCM(53010,53019) = 2¹ × 3² × 5¹ × 19¹ × 31¹ × 43¹ × 137¹
LCM(53010,53019) = 312281910