What is the Least Common Multiple of 43504 and 43509?

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 43504 and 43509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43504 and 43509, than apply into the LCM equation.

GCF(43504,43509) = 1
LCM(43504,43509) = ( 43504 × 43509) / 1
LCM(43504,43509) = 1892815536 / 1
LCM(43504,43509) = 1892815536

Least Common Multiple (LCM) of 43504 and 43509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43504 and 43509. First we will calculate the prime factors of 43504 and 43509.

Prime Factorization of 43504

Prime Factorization of 43509

Now multiplying the highest exponent prime factors to calculate the LCM of 43504 and 43509.

LCM(43504,43509) = 2⁴ × 2719¹ × 3¹ × 14503¹
LCM(43504,43509) = 1892815536