What is the Least Common Multiple of 96123 and 96143?

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 96123 and 96143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96123 and 96143, than apply into the LCM equation.

GCF(96123,96143) = 1
LCM(96123,96143) = ( 96123 × 96143) / 1
LCM(96123,96143) = 9241553589 / 1
LCM(96123,96143) = 9241553589

Least Common Multiple (LCM) of 96123 and 96143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96123 and 96143. First we will calculate the prime factors of 96123 and 96143.

Prime Factorization of 96123

Prime Factorization of 96143

Now multiplying the highest exponent prime factors to calculate the LCM of 96123 and 96143.

LCM(96123,96143) = 3¹ × 179² × 79¹ × 1217¹
LCM(96123,96143) = 9241553589