What is the Least Common Multiple of 94029 and 94047?

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 94029 and 94047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94029 and 94047, than apply into the LCM equation.

GCF(94029,94047) = 3
LCM(94029,94047) = ( 94029 × 94047) / 3
LCM(94029,94047) = 8843145363 / 3
LCM(94029,94047) = 2947715121

Least Common Multiple (LCM) of 94029 and 94047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94029 and 94047. First we will calculate the prime factors of 94029 and 94047.

Prime Factorization of 94029

Prime Factorization of 94047

Now multiplying the highest exponent prime factors to calculate the LCM of 94029 and 94047.

LCM(94029,94047) = 3¹ × 13¹ × 2411¹ × 23¹ × 29¹ × 47¹
LCM(94029,94047) = 2947715121