GCF and LCM Calculator Logo

What is the Least Common Multiple of 52808 and 52821?

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 52808 and 52821 is 2789371368.

LCM(52808,52821) = 2789371368

LCM Calculator and
and

Least Common Multiple of 52808 and 52821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52808 and 52821, than apply into the LCM equation.

GCF(52808,52821) = 1
LCM(52808,52821) = ( 52808 × 52821) / 1
LCM(52808,52821) = 2789371368 / 1
LCM(52808,52821) = 2789371368

Least Common Multiple (LCM) of 52808 and 52821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52808 and 52821. First we will calculate the prime factors of 52808 and 52821.

Prime Factorization of 52808

Prime factors of 52808 are 2, 7, 23, 41. Prime factorization of 52808 in exponential form is:

52808 = 23 × 71 × 231 × 411

Prime Factorization of 52821

Prime factors of 52821 are 3, 5869. Prime factorization of 52821 in exponential form is:

52821 = 32 × 58691

Now multiplying the highest exponent prime factors to calculate the LCM of 52808 and 52821.

LCM(52808,52821) = 23 × 71 × 231 × 411 × 32 × 58691
LCM(52808,52821) = 2789371368