What is the Least Common Multiple of 52613 and 52629?

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 52613 and 52629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52613 and 52629, than apply into the LCM equation.

GCF(52613,52629) = 1
LCM(52613,52629) = ( 52613 × 52629) / 1
LCM(52613,52629) = 2768969577 / 1
LCM(52613,52629) = 2768969577

Least Common Multiple (LCM) of 52613 and 52629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52613 and 52629. First we will calculate the prime factors of 52613 and 52629.

Prime Factorization of 52613

Prime Factorization of 52629

Now multiplying the highest exponent prime factors to calculate the LCM of 52613 and 52629.

LCM(52613,52629) = 11¹ × 4783¹ × 3¹ × 53¹ × 331¹
LCM(52613,52629) = 2768969577