What is the Least Common Multiple of 53312 and 53326?

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 53312 and 53326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53312 and 53326, than apply into the LCM equation.

GCF(53312,53326) = 14
LCM(53312,53326) = ( 53312 × 53326) / 14
LCM(53312,53326) = 2842915712 / 14
LCM(53312,53326) = 203065408

Least Common Multiple (LCM) of 53312 and 53326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53312 and 53326. First we will calculate the prime factors of 53312 and 53326.

Prime Factorization of 53312

Prime Factorization of 53326

Now multiplying the highest exponent prime factors to calculate the LCM of 53312 and 53326.

LCM(53312,53326) = 2⁶ × 7² × 17¹ × 13¹ × 293¹
LCM(53312,53326) = 203065408