What is the Least Common Multiple of 94114 and 94129?

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 94114 and 94129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94114 and 94129, than apply into the LCM equation.

GCF(94114,94129) = 1
LCM(94114,94129) = ( 94114 × 94129) / 1
LCM(94114,94129) = 8858856706 / 1
LCM(94114,94129) = 8858856706

Least Common Multiple (LCM) of 94114 and 94129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94114 and 94129. First we will calculate the prime factors of 94114 and 94129.

Prime Factorization of 94114

Prime Factorization of 94129

Now multiplying the highest exponent prime factors to calculate the LCM of 94114 and 94129.

LCM(94114,94129) = 2¹ × 47057¹ × 7² × 17¹ × 113¹
LCM(94114,94129) = 8858856706