What is the Least Common Multiple of 44016 and 44032?

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 44016 and 44032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44016 and 44032, than apply into the LCM equation.

GCF(44016,44032) = 16
LCM(44016,44032) = ( 44016 × 44032) / 16
LCM(44016,44032) = 1938112512 / 16
LCM(44016,44032) = 121132032

Least Common Multiple (LCM) of 44016 and 44032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44016 and 44032. First we will calculate the prime factors of 44016 and 44032.

Prime Factorization of 44016

Prime Factorization of 44032

Now multiplying the highest exponent prime factors to calculate the LCM of 44016 and 44032.

LCM(44016,44032) = 2¹⁰ × 3¹ × 7¹ × 131¹ × 43¹
LCM(44016,44032) = 121132032