What is the Least Common Multiple of 40803 and 40823?

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 40803 and 40823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40803 and 40823, than apply into the LCM equation.

GCF(40803,40823) = 1
LCM(40803,40823) = ( 40803 × 40823) / 1
LCM(40803,40823) = 1665700869 / 1
LCM(40803,40823) = 1665700869

Least Common Multiple (LCM) of 40803 and 40823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40803 and 40823. First we will calculate the prime factors of 40803 and 40823.

Prime Factorization of 40803

Prime Factorization of 40823

Now multiplying the highest exponent prime factors to calculate the LCM of 40803 and 40823.

LCM(40803,40823) = 3¹ × 7¹ × 29¹ × 67¹ × 40823¹
LCM(40803,40823) = 1665700869