What is the Least Common Multiple of 60504 and 60511?

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 60511 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 60511, than apply into the LCM equation.

GCF(60504,60511) = 1
LCM(60504,60511) = ( 60504 × 60511) / 1
LCM(60504,60511) = 3661157544 / 1
LCM(60504,60511) = 3661157544

Least Common Multiple (LCM) of 60504 and 60511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60504 and 60511. First we will calculate the prime factors of 60504 and 60511.

Prime Factorization of 60504

Prime Factorization of 60511

Now multiplying the highest exponent prime factors to calculate the LCM of 60504 and 60511.

LCM(60504,60511) = 2³ × 3¹ × 2521¹ × 11¹ × 5501¹
LCM(60504,60511) = 3661157544