What is the Least Common Multiple of 27123 and 27143?

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 27123 and 27143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27123 and 27143, than apply into the LCM equation.

GCF(27123,27143) = 1
LCM(27123,27143) = ( 27123 × 27143) / 1
LCM(27123,27143) = 736199589 / 1
LCM(27123,27143) = 736199589

Least Common Multiple (LCM) of 27123 and 27143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27123 and 27143. First we will calculate the prime factors of 27123 and 27143.

Prime Factorization of 27123

Prime Factorization of 27143

Now multiplying the highest exponent prime factors to calculate the LCM of 27123 and 27143.

LCM(27123,27143) = 3¹ × 9041¹ × 27143¹
LCM(27123,27143) = 736199589