What is the Least Common Multiple of 94745 and 94752?

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 94745 and 94752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94745 and 94752, than apply into the LCM equation.

GCF(94745,94752) = 7
LCM(94745,94752) = ( 94745 × 94752) / 7
LCM(94745,94752) = 8977278240 / 7
LCM(94745,94752) = 1282468320

Least Common Multiple (LCM) of 94745 and 94752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94745 and 94752. First we will calculate the prime factors of 94745 and 94752.

Prime Factorization of 94745

Prime Factorization of 94752

Now multiplying the highest exponent prime factors to calculate the LCM of 94745 and 94752.

LCM(94745,94752) = 5¹ × 7¹ × 2707¹ × 2⁵ × 3² × 47¹
LCM(94745,94752) = 1282468320