What is the Least Common Multiple of 78001 and 78013?

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 78001 and 78013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78001 and 78013, than apply into the LCM equation.

GCF(78001,78013) = 1
LCM(78001,78013) = ( 78001 × 78013) / 1
LCM(78001,78013) = 6085092013 / 1
LCM(78001,78013) = 6085092013

Least Common Multiple (LCM) of 78001 and 78013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78001 and 78013. First we will calculate the prime factors of 78001 and 78013.

Prime Factorization of 78001

Prime Factorization of 78013

Now multiplying the highest exponent prime factors to calculate the LCM of 78001 and 78013.

LCM(78001,78013) = 7¹ × 11¹ × 1013¹ × 13¹ × 17¹ × 353¹
LCM(78001,78013) = 6085092013