What is the Least Common Multiple of 11305 and 11312?

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 11305 and 11312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11305 and 11312, than apply into the LCM equation.

GCF(11305,11312) = 7
LCM(11305,11312) = ( 11305 × 11312) / 7
LCM(11305,11312) = 127882160 / 7
LCM(11305,11312) = 18268880

Least Common Multiple (LCM) of 11305 and 11312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11305 and 11312. First we will calculate the prime factors of 11305 and 11312.

Prime Factorization of 11305

Prime Factorization of 11312

Now multiplying the highest exponent prime factors to calculate the LCM of 11305 and 11312.

LCM(11305,11312) = 5¹ × 7¹ × 17¹ × 19¹ × 2⁴ × 101¹
LCM(11305,11312) = 18268880