What is the Least Common Multiple of 43997 and 44016?

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 43997 and 44016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43997 and 44016, than apply into the LCM equation.

GCF(43997,44016) = 1
LCM(43997,44016) = ( 43997 × 44016) / 1
LCM(43997,44016) = 1936571952 / 1
LCM(43997,44016) = 1936571952

Least Common Multiple (LCM) of 43997 and 44016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43997 and 44016. First we will calculate the prime factors of 43997 and 44016.

Prime Factorization of 43997

Prime Factorization of 44016

Now multiplying the highest exponent prime factors to calculate the LCM of 43997 and 44016.

LCM(43997,44016) = 43997¹ × 2⁴ × 3¹ × 7¹ × 131¹
LCM(43997,44016) = 1936571952