What is the Least Common Multiple of 53523 and 53538?

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 53523 and 53538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53523 and 53538, than apply into the LCM equation.

GCF(53523,53538) = 3
LCM(53523,53538) = ( 53523 × 53538) / 3
LCM(53523,53538) = 2865514374 / 3
LCM(53523,53538) = 955171458

Least Common Multiple (LCM) of 53523 and 53538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53523 and 53538. First we will calculate the prime factors of 53523 and 53538.

Prime Factorization of 53523

Prime Factorization of 53538

Now multiplying the highest exponent prime factors to calculate the LCM of 53523 and 53538.

LCM(53523,53538) = 3² × 19¹ × 313¹ × 2¹ × 8923¹
LCM(53523,53538) = 955171458