What is the Least Common Multiple of 65073 and 65083?

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 65073 and 65083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65073 and 65083, than apply into the LCM equation.

GCF(65073,65083) = 1
LCM(65073,65083) = ( 65073 × 65083) / 1
LCM(65073,65083) = 4235146059 / 1
LCM(65073,65083) = 4235146059

Least Common Multiple (LCM) of 65073 and 65083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65073 and 65083. First we will calculate the prime factors of 65073 and 65083.

Prime Factorization of 65073

Prime Factorization of 65083

Now multiplying the highest exponent prime factors to calculate the LCM of 65073 and 65083.

LCM(65073,65083) = 3¹ × 109¹ × 199¹ × 37¹ × 1759¹
LCM(65073,65083) = 4235146059