What is the Least Common Multiple of 44793 and 44800?

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 44793 and 44800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44793 and 44800, than apply into the LCM equation.

GCF(44793,44800) = 7
LCM(44793,44800) = ( 44793 × 44800) / 7
LCM(44793,44800) = 2006726400 / 7
LCM(44793,44800) = 286675200

Least Common Multiple (LCM) of 44793 and 44800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44793 and 44800. First we will calculate the prime factors of 44793 and 44800.

Prime Factorization of 44793

Prime Factorization of 44800

Now multiplying the highest exponent prime factors to calculate the LCM of 44793 and 44800.

LCM(44793,44800) = 3⁴ × 7¹ × 79¹ × 2⁸ × 5²
LCM(44793,44800) = 286675200