What is the Least Common Multiple of 94214 and 94229?

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 94229 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 94229, than apply into the LCM equation.

GCF(94214,94229) = 1
LCM(94214,94229) = ( 94214 × 94229) / 1
LCM(94214,94229) = 8877691006 / 1
LCM(94214,94229) = 8877691006

Least Common Multiple (LCM) of 94214 and 94229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94214 and 94229. First we will calculate the prime factors of 94214 and 94229.

Prime Factorization of 94214

Prime Factorization of 94229

Now multiplying the highest exponent prime factors to calculate the LCM of 94214 and 94229.

LCM(94214,94229) = 2¹ × 17² × 163¹ × 94229¹
LCM(94214,94229) = 8877691006