GCF and LCM Calculator Logo

What is the Least Common Multiple of 52530 and 52537?

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 (LCM) of 52530 and 52537 is 2759768610.

LCM(52530,52537) = 2759768610

LCM Calculator and
and

Least Common Multiple of 52530 and 52537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52530 and 52537, than apply into the LCM equation.

GCF(52530,52537) = 1
LCM(52530,52537) = ( 52530 × 52537) / 1
LCM(52530,52537) = 2759768610 / 1
LCM(52530,52537) = 2759768610

Least Common Multiple (LCM) of 52530 and 52537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52530 and 52537. First we will calculate the prime factors of 52530 and 52537.

Prime Factorization of 52530

Prime factors of 52530 are 2, 3, 5, 17, 103. Prime factorization of 52530 in exponential form is:

52530 = 21 × 31 × 51 × 171 × 1031

Prime Factorization of 52537

Prime factors of 52537 are 107, 491. Prime factorization of 52537 in exponential form is:

52537 = 1071 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 52530 and 52537.

LCM(52530,52537) = 21 × 31 × 51 × 171 × 1031 × 1071 × 4911
LCM(52530,52537) = 2759768610