What is the Least Common Multiple of 64512 and 64523?

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 64512 and 64523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64512 and 64523, than apply into the LCM equation.

GCF(64512,64523) = 1
LCM(64512,64523) = ( 64512 × 64523) / 1
LCM(64512,64523) = 4162507776 / 1
LCM(64512,64523) = 4162507776

Least Common Multiple (LCM) of 64512 and 64523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64512 and 64523. First we will calculate the prime factors of 64512 and 64523.

Prime Factorization of 64512

Prime Factorization of 64523

Now multiplying the highest exponent prime factors to calculate the LCM of 64512 and 64523.

LCM(64512,64523) = 2¹⁰ × 3² × 7¹ × 113¹ × 571¹
LCM(64512,64523) = 4162507776