What is the Least Common Multiple of 64803 and 64818?

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 64803 and 64818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64803 and 64818, than apply into the LCM equation.

GCF(64803,64818) = 3
LCM(64803,64818) = ( 64803 × 64818) / 3
LCM(64803,64818) = 4200400854 / 3
LCM(64803,64818) = 1400133618

Least Common Multiple (LCM) of 64803 and 64818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64803 and 64818. First we will calculate the prime factors of 64803 and 64818.

Prime Factorization of 64803

Prime Factorization of 64818

Now multiplying the highest exponent prime factors to calculate the LCM of 64803 and 64818.

LCM(64803,64818) = 3² × 21601¹ × 2¹ × 13¹ × 277¹
LCM(64803,64818) = 1400133618