What is the Least Common Multiple of 1523 and 1539?

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 1523 and 1539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1523 and 1539, than apply into the LCM equation.

GCF(1523,1539) = 1
LCM(1523,1539) = ( 1523 × 1539) / 1
LCM(1523,1539) = 2343897 / 1
LCM(1523,1539) = 2343897

Least Common Multiple (LCM) of 1523 and 1539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1523 and 1539. First we will calculate the prime factors of 1523 and 1539.

Prime Factorization of 1523

Prime Factorization of 1539

Now multiplying the highest exponent prime factors to calculate the LCM of 1523 and 1539.

LCM(1523,1539) = 1523¹ × 3⁴ × 19¹
LCM(1523,1539) = 2343897