What is the Least Common Multiple of 32809 and 32815?

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 32815 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 32815, than apply into the LCM equation.

GCF(32809,32815) = 1
LCM(32809,32815) = ( 32809 × 32815) / 1
LCM(32809,32815) = 1076627335 / 1
LCM(32809,32815) = 1076627335

Least Common Multiple (LCM) of 32809 and 32815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32809 and 32815. First we will calculate the prime factors of 32809 and 32815.

Prime Factorization of 32809

Prime Factorization of 32815

Now multiplying the highest exponent prime factors to calculate the LCM of 32809 and 32815.

LCM(32809,32815) = 7¹ × 43¹ × 109¹ × 5¹ × 6563¹
LCM(32809,32815) = 1076627335