What is the Least Common Multiple of 96544 and 96551?

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 96544 and 96551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96544 and 96551, than apply into the LCM equation.

GCF(96544,96551) = 7
LCM(96544,96551) = ( 96544 × 96551) / 7
LCM(96544,96551) = 9321419744 / 7
LCM(96544,96551) = 1331631392

Least Common Multiple (LCM) of 96544 and 96551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96544 and 96551. First we will calculate the prime factors of 96544 and 96551.

Prime Factorization of 96544

Prime Factorization of 96551

Now multiplying the highest exponent prime factors to calculate the LCM of 96544 and 96551.

LCM(96544,96551) = 2⁵ × 7¹ × 431¹ × 13¹ × 1061¹
LCM(96544,96551) = 1331631392