What is the Least Common Multiple of 9123 and 9139?

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 9123 and 9139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9123 and 9139, than apply into the LCM equation.

GCF(9123,9139) = 1
LCM(9123,9139) = ( 9123 × 9139) / 1
LCM(9123,9139) = 83375097 / 1
LCM(9123,9139) = 83375097

Least Common Multiple (LCM) of 9123 and 9139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9123 and 9139. First we will calculate the prime factors of 9123 and 9139.

Prime Factorization of 9123

Prime Factorization of 9139

Now multiplying the highest exponent prime factors to calculate the LCM of 9123 and 9139.

LCM(9123,9139) = 3¹ × 3041¹ × 13¹ × 19¹ × 37¹
LCM(9123,9139) = 83375097