What is the Least Common Multiple of 43305 and 43312?

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 43305 and 43312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43305 and 43312, than apply into the LCM equation.

GCF(43305,43312) = 1
LCM(43305,43312) = ( 43305 × 43312) / 1
LCM(43305,43312) = 1875626160 / 1
LCM(43305,43312) = 1875626160

Least Common Multiple (LCM) of 43305 and 43312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43305 and 43312. First we will calculate the prime factors of 43305 and 43312.

Prime Factorization of 43305

Prime Factorization of 43312

Now multiplying the highest exponent prime factors to calculate the LCM of 43305 and 43312.

LCM(43305,43312) = 3¹ × 5¹ × 2887¹ × 2⁴ × 2707¹
LCM(43305,43312) = 1875626160