What is the Least Common Multiple of 52519 and 52533?

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 52519 and 52533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52519 and 52533, than apply into the LCM equation.

GCF(52519,52533) = 1
LCM(52519,52533) = ( 52519 × 52533) / 1
LCM(52519,52533) = 2758980627 / 1
LCM(52519,52533) = 2758980627

Least Common Multiple (LCM) of 52519 and 52533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52519 and 52533. First we will calculate the prime factors of 52519 and 52533.

Prime Factorization of 52519

Prime Factorization of 52533

Now multiplying the highest exponent prime factors to calculate the LCM of 52519 and 52533.

LCM(52519,52533) = 29¹ × 1811¹ × 3² × 13¹ × 449¹
LCM(52519,52533) = 2758980627