What is the Least Common Multiple of 8959 and 8976?

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 8959 and 8976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8959 and 8976, than apply into the LCM equation.

GCF(8959,8976) = 17
LCM(8959,8976) = ( 8959 × 8976) / 17
LCM(8959,8976) = 80415984 / 17
LCM(8959,8976) = 4730352

Least Common Multiple (LCM) of 8959 and 8976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8959 and 8976. First we will calculate the prime factors of 8959 and 8976.

Prime Factorization of 8959

Prime Factorization of 8976

Now multiplying the highest exponent prime factors to calculate the LCM of 8959 and 8976.

LCM(8959,8976) = 17² × 31¹ × 2⁴ × 3¹ × 11¹
LCM(8959,8976) = 4730352