What is the Least Common Multiple of 40805 and 40821?

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 40805 and 40821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40805 and 40821, than apply into the LCM equation.

GCF(40805,40821) = 1
LCM(40805,40821) = ( 40805 × 40821) / 1
LCM(40805,40821) = 1665700905 / 1
LCM(40805,40821) = 1665700905

Least Common Multiple (LCM) of 40805 and 40821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40805 and 40821. First we will calculate the prime factors of 40805 and 40821.

Prime Factorization of 40805

Prime Factorization of 40821

Now multiplying the highest exponent prime factors to calculate the LCM of 40805 and 40821.

LCM(40805,40821) = 5¹ × 8161¹ × 3¹ × 11¹ × 1237¹
LCM(40805,40821) = 1665700905