What is the Least Common Multiple of 64803 and 64821?

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 64821 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 64821, than apply into the LCM equation.

GCF(64803,64821) = 3
LCM(64803,64821) = ( 64803 × 64821) / 3
LCM(64803,64821) = 4200595263 / 3
LCM(64803,64821) = 1400198421

Least Common Multiple (LCM) of 64803 and 64821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64803 and 64821. First we will calculate the prime factors of 64803 and 64821.

Prime Factorization of 64803

Prime Factorization of 64821

Now multiplying the highest exponent prime factors to calculate the LCM of 64803 and 64821.

LCM(64803,64821) = 3¹ × 21601¹ × 17¹ × 31¹ × 41¹
LCM(64803,64821) = 1400198421