What is the Least Common Multiple of 66096 and 66103?

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 66096 and 66103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66096 and 66103, than apply into the LCM equation.

GCF(66096,66103) = 1
LCM(66096,66103) = ( 66096 × 66103) / 1
LCM(66096,66103) = 4369143888 / 1
LCM(66096,66103) = 4369143888

Least Common Multiple (LCM) of 66096 and 66103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66096 and 66103. First we will calculate the prime factors of 66096 and 66103.

Prime Factorization of 66096

Prime Factorization of 66103

Now multiplying the highest exponent prime factors to calculate the LCM of 66096 and 66103.

LCM(66096,66103) = 2⁴ × 3⁵ × 17¹ × 66103¹
LCM(66096,66103) = 4369143888