What is the Least Common Multiple of 43995 and 44011?

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 43995 and 44011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43995 and 44011, than apply into the LCM equation.

GCF(43995,44011) = 1
LCM(43995,44011) = ( 43995 × 44011) / 1
LCM(43995,44011) = 1936263945 / 1
LCM(43995,44011) = 1936263945

Least Common Multiple (LCM) of 43995 and 44011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43995 and 44011. First we will calculate the prime factors of 43995 and 44011.

Prime Factorization of 43995

Prime Factorization of 44011

Now multiplying the highest exponent prime factors to calculate the LCM of 43995 and 44011.

LCM(43995,44011) = 3¹ × 5¹ × 7¹ × 419¹ × 11¹ × 4001¹
LCM(43995,44011) = 1936263945