What is the Least Common Multiple of 64300 and 64304?

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 64300 and 64304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64300 and 64304, than apply into the LCM equation.

GCF(64300,64304) = 4
LCM(64300,64304) = ( 64300 × 64304) / 4
LCM(64300,64304) = 4134747200 / 4
LCM(64300,64304) = 1033686800

Least Common Multiple (LCM) of 64300 and 64304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64300 and 64304. First we will calculate the prime factors of 64300 and 64304.

Prime Factorization of 64300

Prime Factorization of 64304

Now multiplying the highest exponent prime factors to calculate the LCM of 64300 and 64304.

LCM(64300,64304) = 2⁴ × 5² × 643¹ × 4019¹
LCM(64300,64304) = 1033686800