What is the Least Common Multiple of 78012 and 78031?

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 78012 and 78031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78012 and 78031, than apply into the LCM equation.

GCF(78012,78031) = 1
LCM(78012,78031) = ( 78012 × 78031) / 1
LCM(78012,78031) = 6087354372 / 1
LCM(78012,78031) = 6087354372

Least Common Multiple (LCM) of 78012 and 78031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78012 and 78031. First we will calculate the prime factors of 78012 and 78031.

Prime Factorization of 78012

Prime Factorization of 78031

Now multiplying the highest exponent prime factors to calculate the LCM of 78012 and 78031.

LCM(78012,78031) = 2² × 3² × 11¹ × 197¹ × 78031¹
LCM(78012,78031) = 6087354372