What is the Least Common Multiple of 44802 and 44817?

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 44802 and 44817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44802 and 44817, than apply into the LCM equation.

GCF(44802,44817) = 3
LCM(44802,44817) = ( 44802 × 44817) / 3
LCM(44802,44817) = 2007891234 / 3
LCM(44802,44817) = 669297078

Least Common Multiple (LCM) of 44802 and 44817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44802 and 44817. First we will calculate the prime factors of 44802 and 44817.

Prime Factorization of 44802

Prime Factorization of 44817

Now multiplying the highest exponent prime factors to calculate the LCM of 44802 and 44817.

LCM(44802,44817) = 2¹ × 3² × 19¹ × 131¹ × 14939¹
LCM(44802,44817) = 669297078