What is the Least Common Multiple of 60504 and 60519?

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 60504 and 60519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60504 and 60519, than apply into the LCM equation.

GCF(60504,60519) = 3
LCM(60504,60519) = ( 60504 × 60519) / 3
LCM(60504,60519) = 3661641576 / 3
LCM(60504,60519) = 1220547192

Least Common Multiple (LCM) of 60504 and 60519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60504 and 60519. First we will calculate the prime factors of 60504 and 60519.

Prime Factorization of 60504

Prime Factorization of 60519

Now multiplying the highest exponent prime factors to calculate the LCM of 60504 and 60519.

LCM(60504,60519) = 2³ × 3¹ × 2521¹ × 20173¹
LCM(60504,60519) = 1220547192