What is the Least Common Multiple of 96591 and 96603?

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 96591 and 96603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96591 and 96603, than apply into the LCM equation.

GCF(96591,96603) = 3
LCM(96591,96603) = ( 96591 × 96603) / 3
LCM(96591,96603) = 9330980373 / 3
LCM(96591,96603) = 3110326791

Least Common Multiple (LCM) of 96591 and 96603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96591 and 96603. First we will calculate the prime factors of 96591 and 96603.

Prime Factorization of 96591

Prime Factorization of 96603

Now multiplying the highest exponent prime factors to calculate the LCM of 96591 and 96603.

LCM(96591,96603) = 3¹ × 11¹ × 2927¹ × 13¹ × 2477¹
LCM(96591,96603) = 3110326791