What is the Least Common Multiple of 53704 and 53724?

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 53704 and 53724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53704 and 53724, than apply into the LCM equation.

GCF(53704,53724) = 4
LCM(53704,53724) = ( 53704 × 53724) / 4
LCM(53704,53724) = 2885193696 / 4
LCM(53704,53724) = 721298424

Least Common Multiple (LCM) of 53704 and 53724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53704 and 53724. First we will calculate the prime factors of 53704 and 53724.

Prime Factorization of 53704

Prime Factorization of 53724

Now multiplying the highest exponent prime factors to calculate the LCM of 53704 and 53724.

LCM(53704,53724) = 2³ × 7² × 137¹ × 3¹ × 11² × 37¹
LCM(53704,53724) = 721298424