What is the Least Common Multiple of 94976 and 94993?

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 94976 and 94993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94976 and 94993, than apply into the LCM equation.

GCF(94976,94993) = 1
LCM(94976,94993) = ( 94976 × 94993) / 1
LCM(94976,94993) = 9022055168 / 1
LCM(94976,94993) = 9022055168

Least Common Multiple (LCM) of 94976 and 94993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94976 and 94993. First we will calculate the prime factors of 94976 and 94993.

Prime Factorization of 94976

Prime Factorization of 94993

Now multiplying the highest exponent prime factors to calculate the LCM of 94976 and 94993.

LCM(94976,94993) = 2⁸ × 7¹ × 53¹ × 94993¹
LCM(94976,94993) = 9022055168