What is the Least Common Multiple of 53298 and 53312?

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 53298 and 53312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53298 and 53312, than apply into the LCM equation.

GCF(53298,53312) = 14
LCM(53298,53312) = ( 53298 × 53312) / 14
LCM(53298,53312) = 2841422976 / 14
LCM(53298,53312) = 202958784

Least Common Multiple (LCM) of 53298 and 53312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53298 and 53312. First we will calculate the prime factors of 53298 and 53312.

Prime Factorization of 53298

Prime Factorization of 53312

Now multiplying the highest exponent prime factors to calculate the LCM of 53298 and 53312.

LCM(53298,53312) = 2⁶ × 3⁴ × 7² × 47¹ × 17¹
LCM(53298,53312) = 202958784