What is the Least Common Multiple of 44850 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 44850 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 44850 and 44864, than apply into the LCM equation.

GCF(44850,44864) = 2
LCM(44850,44864) = ( 44850 × 44864) / 2
LCM(44850,44864) = 2012150400 / 2
LCM(44850,44864) = 1006075200

Least Common Multiple (LCM) of 44850 and 44864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44850 and 44864. First we will calculate the prime factors of 44850 and 44864.

Prime Factorization of 44850

Prime Factorization of 44864

Now multiplying the highest exponent prime factors to calculate the LCM of 44850 and 44864.

LCM(44850,44864) = 2⁶ × 3¹ × 5² × 13¹ × 23¹ × 701¹
LCM(44850,44864) = 1006075200