What is the Least Common Multiple of 43519 and 43531?

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 43519 and 43531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43519 and 43531, than apply into the LCM equation.

GCF(43519,43531) = 1
LCM(43519,43531) = ( 43519 × 43531) / 1
LCM(43519,43531) = 1894425589 / 1
LCM(43519,43531) = 1894425589

Least Common Multiple (LCM) of 43519 and 43531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43519 and 43531. First we will calculate the prime factors of 43519 and 43531.

Prime Factorization of 43519

Prime Factorization of 43531

Now multiplying the highest exponent prime factors to calculate the LCM of 43519 and 43531.

LCM(43519,43531) = 7¹ × 6217¹ × 101¹ × 431¹
LCM(43519,43531) = 1894425589