What is the Least Common Multiple of 96774 and 96789?

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 96774 and 96789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96774 and 96789, than apply into the LCM equation.

GCF(96774,96789) = 3
LCM(96774,96789) = ( 96774 × 96789) / 3
LCM(96774,96789) = 9366658686 / 3
LCM(96774,96789) = 3122219562

Least Common Multiple (LCM) of 96774 and 96789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96774 and 96789. First we will calculate the prime factors of 96774 and 96789.

Prime Factorization of 96774

Prime Factorization of 96789

Now multiplying the highest exponent prime factors to calculate the LCM of 96774 and 96789.

LCM(96774,96789) = 2¹ × 3¹ × 127² × 7¹ × 11¹ × 419¹
LCM(96774,96789) = 3122219562