What is the Least Common Multiple of 52814 and 52819?

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 52814 and 52819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52814 and 52819, than apply into the LCM equation.

GCF(52814,52819) = 1
LCM(52814,52819) = ( 52814 × 52819) / 1
LCM(52814,52819) = 2789582666 / 1
LCM(52814,52819) = 2789582666

Least Common Multiple (LCM) of 52814 and 52819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52814 and 52819. First we will calculate the prime factors of 52814 and 52819.

Prime Factorization of 52814

Prime Factorization of 52819

Now multiplying the highest exponent prime factors to calculate the LCM of 52814 and 52819.

LCM(52814,52819) = 2¹ × 26407¹ × 13¹ × 17¹ × 239¹
LCM(52814,52819) = 2789582666