What is the Least Common Multiple of 96957 and 96966?

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 96957 and 96966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96957 and 96966, than apply into the LCM equation.

GCF(96957,96966) = 9
LCM(96957,96966) = ( 96957 × 96966) / 9
LCM(96957,96966) = 9401532462 / 9
LCM(96957,96966) = 1044614718

Least Common Multiple (LCM) of 96957 and 96966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96957 and 96966. First we will calculate the prime factors of 96957 and 96966.

Prime Factorization of 96957

Prime Factorization of 96966

Now multiplying the highest exponent prime factors to calculate the LCM of 96957 and 96966.

LCM(96957,96966) = 3⁶ × 7¹ × 19¹ × 2¹ × 5387¹
LCM(96957,96966) = 1044614718