What is the Least Common Multiple of 94065 and 94071?

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 94065 and 94071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94065 and 94071, than apply into the LCM equation.

GCF(94065,94071) = 3
LCM(94065,94071) = ( 94065 × 94071) / 3
LCM(94065,94071) = 8848788615 / 3
LCM(94065,94071) = 2949596205

Least Common Multiple (LCM) of 94065 and 94071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94065 and 94071. First we will calculate the prime factors of 94065 and 94071.

Prime Factorization of 94065

Prime Factorization of 94071

Now multiplying the highest exponent prime factors to calculate the LCM of 94065 and 94071.

LCM(94065,94071) = 3¹ × 5¹ × 6271¹ × 31357¹
LCM(94065,94071) = 2949596205