What is the Least Common Multiple of 44096 and 44103?

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 44096 and 44103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44096 and 44103, than apply into the LCM equation.

GCF(44096,44103) = 1
LCM(44096,44103) = ( 44096 × 44103) / 1
LCM(44096,44103) = 1944765888 / 1
LCM(44096,44103) = 1944765888

Least Common Multiple (LCM) of 44096 and 44103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44096 and 44103. First we will calculate the prime factors of 44096 and 44103.

Prime Factorization of 44096

Prime Factorization of 44103

Now multiplying the highest exponent prime factors to calculate the LCM of 44096 and 44103.

LCM(44096,44103) = 2⁶ × 13¹ × 53¹ × 3¹ × 61¹ × 241¹
LCM(44096,44103) = 1944765888