What is the Least Common Multiple of 44784 and 44802?

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 44784 and 44802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44784 and 44802, than apply into the LCM equation.

GCF(44784,44802) = 18
LCM(44784,44802) = ( 44784 × 44802) / 18
LCM(44784,44802) = 2006412768 / 18
LCM(44784,44802) = 111467376

Least Common Multiple (LCM) of 44784 and 44802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44784 and 44802. First we will calculate the prime factors of 44784 and 44802.

Prime Factorization of 44784

Prime Factorization of 44802

Now multiplying the highest exponent prime factors to calculate the LCM of 44784 and 44802.

LCM(44784,44802) = 2⁴ × 3² × 311¹ × 19¹ × 131¹
LCM(44784,44802) = 111467376