What is the Least Common Multiple of 52988 and 53007?

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 52988 and 53007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52988 and 53007, than apply into the LCM equation.

GCF(52988,53007) = 1
LCM(52988,53007) = ( 52988 × 53007) / 1
LCM(52988,53007) = 2808734916 / 1
LCM(52988,53007) = 2808734916

Least Common Multiple (LCM) of 52988 and 53007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52988 and 53007. First we will calculate the prime factors of 52988 and 53007.

Prime Factorization of 52988

Prime Factorization of 53007

Now multiplying the highest exponent prime factors to calculate the LCM of 52988 and 53007.

LCM(52988,53007) = 2² × 13¹ × 1019¹ × 3¹ × 17669¹
LCM(52988,53007) = 2808734916