What is the Least Common Multiple of 94545 and 94563?

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 94545 and 94563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94545 and 94563, than apply into the LCM equation.

GCF(94545,94563) = 9
LCM(94545,94563) = ( 94545 × 94563) / 9
LCM(94545,94563) = 8940458835 / 9
LCM(94545,94563) = 993384315

Least Common Multiple (LCM) of 94545 and 94563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94545 and 94563. First we will calculate the prime factors of 94545 and 94563.

Prime Factorization of 94545

Prime Factorization of 94563

Now multiplying the highest exponent prime factors to calculate the LCM of 94545 and 94563.

LCM(94545,94563) = 3² × 5¹ × 11¹ × 191¹ × 7¹ × 19¹ × 79¹
LCM(94545,94563) = 993384315