What is the Least Common Multiple of 65083 and 65103?

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 65083 and 65103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65083 and 65103, than apply into the LCM equation.

GCF(65083,65103) = 1
LCM(65083,65103) = ( 65083 × 65103) / 1
LCM(65083,65103) = 4237098549 / 1
LCM(65083,65103) = 4237098549

Least Common Multiple (LCM) of 65083 and 65103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65083 and 65103. First we will calculate the prime factors of 65083 and 65103.

Prime Factorization of 65083

Prime Factorization of 65103

Now multiplying the highest exponent prime factors to calculate the LCM of 65083 and 65103.

LCM(65083,65103) = 37¹ × 1759¹ × 3¹ × 21701¹
LCM(65083,65103) = 4237098549