What is the Least Common Multiple of 52304 and 52312?

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 52304 and 52312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52304 and 52312, than apply into the LCM equation.

GCF(52304,52312) = 8
LCM(52304,52312) = ( 52304 × 52312) / 8
LCM(52304,52312) = 2736126848 / 8
LCM(52304,52312) = 342015856

Least Common Multiple (LCM) of 52304 and 52312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52304 and 52312. First we will calculate the prime factors of 52304 and 52312.

Prime Factorization of 52304

Prime Factorization of 52312

Now multiplying the highest exponent prime factors to calculate the LCM of 52304 and 52312.

LCM(52304,52312) = 2⁴ × 7¹ × 467¹ × 13¹ × 503¹
LCM(52304,52312) = 342015856