What is the Least Common Multiple of 40305 and 40312?

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 40305 and 40312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40305 and 40312, than apply into the LCM equation.

GCF(40305,40312) = 1
LCM(40305,40312) = ( 40305 × 40312) / 1
LCM(40305,40312) = 1624775160 / 1
LCM(40305,40312) = 1624775160

Least Common Multiple (LCM) of 40305 and 40312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40305 and 40312. First we will calculate the prime factors of 40305 and 40312.

Prime Factorization of 40305

Prime Factorization of 40312

Now multiplying the highest exponent prime factors to calculate the LCM of 40305 and 40312.

LCM(40305,40312) = 3¹ × 5¹ × 2687¹ × 2³ × 5039¹
LCM(40305,40312) = 1624775160