What is the Least Common Multiple of 94671 and 94689?

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 94671 and 94689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94671 and 94689, than apply into the LCM equation.

GCF(94671,94689) = 9
LCM(94671,94689) = ( 94671 × 94689) / 9
LCM(94671,94689) = 8964302319 / 9
LCM(94671,94689) = 996033591

Least Common Multiple (LCM) of 94671 and 94689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94671 and 94689. First we will calculate the prime factors of 94671 and 94689.

Prime Factorization of 94671

Prime Factorization of 94689

Now multiplying the highest exponent prime factors to calculate the LCM of 94671 and 94689.

LCM(94671,94689) = 3⁴ × 67¹ × 157¹ × 7¹ × 167¹
LCM(94671,94689) = 996033591