What is the Least Common Multiple of 43309 and 43313?

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 43309 and 43313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43309 and 43313, than apply into the LCM equation.

GCF(43309,43313) = 1
LCM(43309,43313) = ( 43309 × 43313) / 1
LCM(43309,43313) = 1875842717 / 1
LCM(43309,43313) = 1875842717

Least Common Multiple (LCM) of 43309 and 43313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43309 and 43313. First we will calculate the prime factors of 43309 and 43313.

Prime Factorization of 43309

Prime Factorization of 43313

Now multiplying the highest exponent prime factors to calculate the LCM of 43309 and 43313.

LCM(43309,43313) = 7¹ × 23¹ × 269¹ × 43313¹
LCM(43309,43313) = 1875842717