What is the Least Common Multiple of 53328 and 53346?

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 53328 and 53346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53328 and 53346, than apply into the LCM equation.

GCF(53328,53346) = 6
LCM(53328,53346) = ( 53328 × 53346) / 6
LCM(53328,53346) = 2844835488 / 6
LCM(53328,53346) = 474139248

Least Common Multiple (LCM) of 53328 and 53346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53328 and 53346. First we will calculate the prime factors of 53328 and 53346.

Prime Factorization of 53328

Prime Factorization of 53346

Now multiplying the highest exponent prime factors to calculate the LCM of 53328 and 53346.

LCM(53328,53346) = 2⁴ × 3¹ × 11¹ × 101¹ × 17¹ × 523¹
LCM(53328,53346) = 474139248