What is the Least Common Multiple of 64803 and 64812?

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 64812 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 64812, than apply into the LCM equation.

GCF(64803,64812) = 3
LCM(64803,64812) = ( 64803 × 64812) / 3
LCM(64803,64812) = 4200012036 / 3
LCM(64803,64812) = 1400004012

Least Common Multiple (LCM) of 64803 and 64812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64803 and 64812. First we will calculate the prime factors of 64803 and 64812.

Prime Factorization of 64803

Prime Factorization of 64812

Now multiplying the highest exponent prime factors to calculate the LCM of 64803 and 64812.

LCM(64803,64812) = 3¹ × 21601¹ × 2² × 11¹ × 491¹
LCM(64803,64812) = 1400004012