What is the Least Common Multiple of 65103 and 65112?

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 65103 and 65112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65103 and 65112, than apply into the LCM equation.

GCF(65103,65112) = 3
LCM(65103,65112) = ( 65103 × 65112) / 3
LCM(65103,65112) = 4238986536 / 3
LCM(65103,65112) = 1412995512

Least Common Multiple (LCM) of 65103 and 65112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65103 and 65112. First we will calculate the prime factors of 65103 and 65112.

Prime Factorization of 65103

Prime Factorization of 65112

Now multiplying the highest exponent prime factors to calculate the LCM of 65103 and 65112.

LCM(65103,65112) = 3¹ × 21701¹ × 2³ × 2713¹
LCM(65103,65112) = 1412995512