What is the Least Common Multiple of 53010 and 53015?

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 53015 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 53015, than apply into the LCM equation.

GCF(53010,53015) = 5
LCM(53010,53015) = ( 53010 × 53015) / 5
LCM(53010,53015) = 2810325150 / 5
LCM(53010,53015) = 562065030

Least Common Multiple (LCM) of 53010 and 53015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53010 and 53015. First we will calculate the prime factors of 53010 and 53015.

Prime Factorization of 53010

Prime Factorization of 53015

Now multiplying the highest exponent prime factors to calculate the LCM of 53010 and 53015.

LCM(53010,53015) = 2¹ × 3² × 5¹ × 19¹ × 31¹ × 23¹ × 461¹
LCM(53010,53015) = 562065030