What is the Least Common Multiple of 53504 and 53523?

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 53504 and 53523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53504 and 53523, than apply into the LCM equation.

GCF(53504,53523) = 19
LCM(53504,53523) = ( 53504 × 53523) / 19
LCM(53504,53523) = 2863694592 / 19
LCM(53504,53523) = 150720768

Least Common Multiple (LCM) of 53504 and 53523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53504 and 53523. First we will calculate the prime factors of 53504 and 53523.

Prime Factorization of 53504

Prime Factorization of 53523

Now multiplying the highest exponent prime factors to calculate the LCM of 53504 and 53523.

LCM(53504,53523) = 2⁸ × 11¹ × 19¹ × 3² × 313¹
LCM(53504,53523) = 150720768