What is the Least Common Multiple of 43304 and 43315?

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 43304 and 43315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43304 and 43315, than apply into the LCM equation.

GCF(43304,43315) = 1
LCM(43304,43315) = ( 43304 × 43315) / 1
LCM(43304,43315) = 1875712760 / 1
LCM(43304,43315) = 1875712760

Least Common Multiple (LCM) of 43304 and 43315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43304 and 43315. First we will calculate the prime factors of 43304 and 43315.

Prime Factorization of 43304

Prime Factorization of 43315

Now multiplying the highest exponent prime factors to calculate the LCM of 43304 and 43315.

LCM(43304,43315) = 2³ × 5413¹ × 5¹ × 8663¹
LCM(43304,43315) = 1875712760