What is the Least Common Multiple of 94214 and 94219?

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 94214 and 94219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94214 and 94219, than apply into the LCM equation.

GCF(94214,94219) = 1
LCM(94214,94219) = ( 94214 × 94219) / 1
LCM(94214,94219) = 8876748866 / 1
LCM(94214,94219) = 8876748866

Least Common Multiple (LCM) of 94214 and 94219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94214 and 94219. First we will calculate the prime factors of 94214 and 94219.

Prime Factorization of 94214

Prime Factorization of 94219

Now multiplying the highest exponent prime factors to calculate the LCM of 94214 and 94219.

LCM(94214,94219) = 2¹ × 17² × 163¹ × 94219¹
LCM(94214,94219) = 8876748866