What is the Least Common Multiple of 64296 and 64303?

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 64296 and 64303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64296 and 64303, than apply into the LCM equation.

GCF(64296,64303) = 1
LCM(64296,64303) = ( 64296 × 64303) / 1
LCM(64296,64303) = 4134425688 / 1
LCM(64296,64303) = 4134425688

Least Common Multiple (LCM) of 64296 and 64303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64296 and 64303. First we will calculate the prime factors of 64296 and 64303.

Prime Factorization of 64296

Prime Factorization of 64303

Now multiplying the highest exponent prime factors to calculate the LCM of 64296 and 64303.

LCM(64296,64303) = 2³ × 3² × 19¹ × 47¹ × 64303¹
LCM(64296,64303) = 4134425688