What is the Least Common Multiple of 94675 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 94675 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 94675 and 94689, than apply into the LCM equation.

GCF(94675,94689) = 7
LCM(94675,94689) = ( 94675 × 94689) / 7
LCM(94675,94689) = 8964681075 / 7
LCM(94675,94689) = 1280668725

Least Common Multiple (LCM) of 94675 and 94689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94675 and 94689. First we will calculate the prime factors of 94675 and 94689.

Prime Factorization of 94675

Prime Factorization of 94689

Now multiplying the highest exponent prime factors to calculate the LCM of 94675 and 94689.

LCM(94675,94689) = 5² × 7¹ × 541¹ × 3⁴ × 167¹
LCM(94675,94689) = 1280668725