What is the Least Common Multiple of 64473 and 64493?

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 64473 and 64493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64473 and 64493, than apply into the LCM equation.

GCF(64473,64493) = 1
LCM(64473,64493) = ( 64473 × 64493) / 1
LCM(64473,64493) = 4158057189 / 1
LCM(64473,64493) = 4158057189

Least Common Multiple (LCM) of 64473 and 64493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64473 and 64493. First we will calculate the prime factors of 64473 and 64493.

Prime Factorization of 64473

Prime Factorization of 64493

Now multiplying the highest exponent prime factors to calculate the LCM of 64473 and 64493.

LCM(64473,64493) = 3¹ × 21491¹ × 11² × 13¹ × 41¹
LCM(64473,64493) = 4158057189