What is the Least Common Multiple of 53314 and 53328?

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 53314 and 53328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53314 and 53328, than apply into the LCM equation.

GCF(53314,53328) = 2
LCM(53314,53328) = ( 53314 × 53328) / 2
LCM(53314,53328) = 2843128992 / 2
LCM(53314,53328) = 1421564496

Least Common Multiple (LCM) of 53314 and 53328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53314 and 53328. First we will calculate the prime factors of 53314 and 53328.

Prime Factorization of 53314

Prime Factorization of 53328

Now multiplying the highest exponent prime factors to calculate the LCM of 53314 and 53328.

LCM(53314,53328) = 2⁴ × 19¹ × 23¹ × 61¹ × 3¹ × 11¹ × 101¹
LCM(53314,53328) = 1421564496