What is the Least Common Multiple of 71523 and 71538?

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 71523 and 71538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71523 and 71538, than apply into the LCM equation.

GCF(71523,71538) = 3
LCM(71523,71538) = ( 71523 × 71538) / 3
LCM(71523,71538) = 5116612374 / 3
LCM(71523,71538) = 1705537458

Least Common Multiple (LCM) of 71523 and 71538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71523 and 71538. First we will calculate the prime factors of 71523 and 71538.

Prime Factorization of 71523

Prime Factorization of 71538

Now multiplying the highest exponent prime factors to calculate the LCM of 71523 and 71538.

LCM(71523,71538) = 3⁴ × 883¹ × 2¹ × 11923¹
LCM(71523,71538) = 1705537458