What is the Least Common Multiple of 32769 and 32773?

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 32769 and 32773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32769 and 32773, than apply into the LCM equation.

GCF(32769,32773) = 1
LCM(32769,32773) = ( 32769 × 32773) / 1
LCM(32769,32773) = 1073938437 / 1
LCM(32769,32773) = 1073938437

Least Common Multiple (LCM) of 32769 and 32773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32769 and 32773. First we will calculate the prime factors of 32769 and 32773.

Prime Factorization of 32769

Prime Factorization of 32773

Now multiplying the highest exponent prime factors to calculate the LCM of 32769 and 32773.

LCM(32769,32773) = 3² × 11¹ × 331¹ × 13¹ × 2521¹
LCM(32769,32773) = 1073938437