What is the Least Common Multiple of 44928 and 44945?

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 44928 and 44945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44928 and 44945, than apply into the LCM equation.

GCF(44928,44945) = 1
LCM(44928,44945) = ( 44928 × 44945) / 1
LCM(44928,44945) = 2019288960 / 1
LCM(44928,44945) = 2019288960

Least Common Multiple (LCM) of 44928 and 44945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44928 and 44945. First we will calculate the prime factors of 44928 and 44945.

Prime Factorization of 44928

Prime Factorization of 44945

Now multiplying the highest exponent prime factors to calculate the LCM of 44928 and 44945.

LCM(44928,44945) = 2⁷ × 3³ × 13¹ × 5¹ × 89¹ × 101¹
LCM(44928,44945) = 2019288960