What is the Least Common Multiple of 39804 and 39818?

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 39804 and 39818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39804 and 39818, than apply into the LCM equation.

GCF(39804,39818) = 2
LCM(39804,39818) = ( 39804 × 39818) / 2
LCM(39804,39818) = 1584915672 / 2
LCM(39804,39818) = 792457836

Least Common Multiple (LCM) of 39804 and 39818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39804 and 39818. First we will calculate the prime factors of 39804 and 39818.

Prime Factorization of 39804

Prime Factorization of 39818

Now multiplying the highest exponent prime factors to calculate the LCM of 39804 and 39818.

LCM(39804,39818) = 2² × 3¹ × 31¹ × 107¹ × 43¹ × 463¹
LCM(39804,39818) = 792457836