What is the Least Common Multiple of 94012 and 94031?

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 94012 and 94031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94012 and 94031, than apply into the LCM equation.

GCF(94012,94031) = 19
LCM(94012,94031) = ( 94012 × 94031) / 19
LCM(94012,94031) = 8840042372 / 19
LCM(94012,94031) = 465265388

Least Common Multiple (LCM) of 94012 and 94031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94012 and 94031. First we will calculate the prime factors of 94012 and 94031.

Prime Factorization of 94012

Prime Factorization of 94031

Now multiplying the highest exponent prime factors to calculate the LCM of 94012 and 94031.

LCM(94012,94031) = 2² × 19¹ × 1237¹ × 7² × 101¹
LCM(94012,94031) = 465265388