What is the Least Common Multiple of 64083 and 64103?

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 64083 and 64103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64083 and 64103, than apply into the LCM equation.

GCF(64083,64103) = 1
LCM(64083,64103) = ( 64083 × 64103) / 1
LCM(64083,64103) = 4107912549 / 1
LCM(64083,64103) = 4107912549

Least Common Multiple (LCM) of 64083 and 64103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64083 and 64103. First we will calculate the prime factors of 64083 and 64103.

Prime Factorization of 64083

Prime Factorization of 64103

Now multiplying the highest exponent prime factors to calculate the LCM of 64083 and 64103.

LCM(64083,64103) = 3¹ × 41¹ × 521¹ × 13¹ × 4931¹
LCM(64083,64103) = 4107912549