What is the Least Common Multiple of 44844 and 44864?

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 44844 and 44864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44844 and 44864, than apply into the LCM equation.

GCF(44844,44864) = 4
LCM(44844,44864) = ( 44844 × 44864) / 4
LCM(44844,44864) = 2011881216 / 4
LCM(44844,44864) = 502970304

Least Common Multiple (LCM) of 44844 and 44864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44844 and 44864. First we will calculate the prime factors of 44844 and 44864.

Prime Factorization of 44844

Prime Factorization of 44864

Now multiplying the highest exponent prime factors to calculate the LCM of 44844 and 44864.

LCM(44844,44864) = 2⁶ × 3¹ × 37¹ × 101¹ × 701¹
LCM(44844,44864) = 502970304