What is the Least Common Multiple of 94966 and 94976?

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 94966 and 94976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94966 and 94976, than apply into the LCM equation.

GCF(94966,94976) = 2
LCM(94966,94976) = ( 94966 × 94976) / 2
LCM(94966,94976) = 9019490816 / 2
LCM(94966,94976) = 4509745408

Least Common Multiple (LCM) of 94966 and 94976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94966 and 94976. First we will calculate the prime factors of 94966 and 94976.

Prime Factorization of 94966

Prime Factorization of 94976

Now multiplying the highest exponent prime factors to calculate the LCM of 94966 and 94976.

LCM(94966,94976) = 2⁸ × 103¹ × 461¹ × 7¹ × 53¹
LCM(94966,94976) = 4509745408