What is the Least Common Multiple of 96676 and 96689?

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 96676 and 96689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96676 and 96689, than apply into the LCM equation.

GCF(96676,96689) = 1
LCM(96676,96689) = ( 96676 × 96689) / 1
LCM(96676,96689) = 9347505764 / 1
LCM(96676,96689) = 9347505764

Least Common Multiple (LCM) of 96676 and 96689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96676 and 96689. First we will calculate the prime factors of 96676 and 96689.

Prime Factorization of 96676

Prime Factorization of 96689

Now multiplying the highest exponent prime factors to calculate the LCM of 96676 and 96689.

LCM(96676,96689) = 2² × 24169¹ × 31¹ × 3119¹
LCM(96676,96689) = 9347505764