What is the Least Common Multiple of 78002 and 78014?

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 78002 and 78014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78002 and 78014, than apply into the LCM equation.

GCF(78002,78014) = 2
LCM(78002,78014) = ( 78002 × 78014) / 2
LCM(78002,78014) = 6085248028 / 2
LCM(78002,78014) = 3042624014

Least Common Multiple (LCM) of 78002 and 78014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78002 and 78014. First we will calculate the prime factors of 78002 and 78014.

Prime Factorization of 78002

Prime Factorization of 78014

Now multiplying the highest exponent prime factors to calculate the LCM of 78002 and 78014.

LCM(78002,78014) = 2¹ × 43¹ × 907¹ × 19¹ × 2053¹
LCM(78002,78014) = 3042624014