What is the Least Common Multiple of 51003 and 51013?

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 51003 and 51013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51003 and 51013, than apply into the LCM equation.

GCF(51003,51013) = 1
LCM(51003,51013) = ( 51003 × 51013) / 1
LCM(51003,51013) = 2601816039 / 1
LCM(51003,51013) = 2601816039

Least Common Multiple (LCM) of 51003 and 51013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51003 and 51013. First we will calculate the prime factors of 51003 and 51013.

Prime Factorization of 51003

Prime Factorization of 51013

Now multiplying the highest exponent prime factors to calculate the LCM of 51003 and 51013.

LCM(51003,51013) = 3³ × 1889¹ × 139¹ × 367¹
LCM(51003,51013) = 2601816039