What is the Least Common Multiple of 19773 and 19791?

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 19773 and 19791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19773 and 19791, than apply into the LCM equation.

GCF(19773,19791) = 9
LCM(19773,19791) = ( 19773 × 19791) / 9
LCM(19773,19791) = 391327443 / 9
LCM(19773,19791) = 43480827

Least Common Multiple (LCM) of 19773 and 19791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19773 and 19791. First we will calculate the prime factors of 19773 and 19791.

Prime Factorization of 19773

Prime Factorization of 19791

Now multiplying the highest exponent prime factors to calculate the LCM of 19773 and 19791.

LCM(19773,19791) = 3³ × 13³ × 733¹
LCM(19773,19791) = 43480827