What is the Least Common Multiple of 44096 and 44100?

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 44100 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 44100, than apply into the LCM equation.

GCF(44096,44100) = 4
LCM(44096,44100) = ( 44096 × 44100) / 4
LCM(44096,44100) = 1944633600 / 4
LCM(44096,44100) = 486158400

Least Common Multiple (LCM) of 44096 and 44100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44096 and 44100. First we will calculate the prime factors of 44096 and 44100.

Prime Factorization of 44096

Prime Factorization of 44100

Now multiplying the highest exponent prime factors to calculate the LCM of 44096 and 44100.

LCM(44096,44100) = 2⁶ × 13¹ × 53¹ × 3² × 5² × 7²
LCM(44096,44100) = 486158400