What is the Least Common Multiple of 64001 and 64009?

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 64001 and 64009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64001 and 64009, than apply into the LCM equation.

GCF(64001,64009) = 1
LCM(64001,64009) = ( 64001 × 64009) / 1
LCM(64001,64009) = 4096640009 / 1
LCM(64001,64009) = 4096640009

Least Common Multiple (LCM) of 64001 and 64009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64001 and 64009. First we will calculate the prime factors of 64001 and 64009.

Prime Factorization of 64001

Prime Factorization of 64009

Now multiplying the highest exponent prime factors to calculate the LCM of 64001 and 64009.

LCM(64001,64009) = 7¹ × 41¹ × 223¹ × 11² × 23²
LCM(64001,64009) = 4096640009