What is the Least Common Multiple of 32809 and 32819?

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 32809 and 32819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32809 and 32819, than apply into the LCM equation.

GCF(32809,32819) = 1
LCM(32809,32819) = ( 32809 × 32819) / 1
LCM(32809,32819) = 1076758571 / 1
LCM(32809,32819) = 1076758571

Least Common Multiple (LCM) of 32809 and 32819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32809 and 32819. First we will calculate the prime factors of 32809 and 32819.

Prime Factorization of 32809

Prime Factorization of 32819

Now multiplying the highest exponent prime factors to calculate the LCM of 32809 and 32819.

LCM(32809,32819) = 7¹ × 43¹ × 109¹ × 37¹ × 887¹
LCM(32809,32819) = 1076758571