What is the Least Common Multiple of 44100 and 44112?

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 44100 and 44112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44100 and 44112, than apply into the LCM equation.

GCF(44100,44112) = 12
LCM(44100,44112) = ( 44100 × 44112) / 12
LCM(44100,44112) = 1945339200 / 12
LCM(44100,44112) = 162111600

Least Common Multiple (LCM) of 44100 and 44112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44100 and 44112. First we will calculate the prime factors of 44100 and 44112.

Prime Factorization of 44100

Prime Factorization of 44112

Now multiplying the highest exponent prime factors to calculate the LCM of 44100 and 44112.

LCM(44100,44112) = 2⁴ × 3² × 5² × 7² × 919¹
LCM(44100,44112) = 162111600