What is the Least Common Multiple of 43502 and 43506?

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 43502 and 43506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43502 and 43506, than apply into the LCM equation.

GCF(43502,43506) = 2
LCM(43502,43506) = ( 43502 × 43506) / 2
LCM(43502,43506) = 1892598012 / 2
LCM(43502,43506) = 946299006

Least Common Multiple (LCM) of 43502 and 43506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43502 and 43506. First we will calculate the prime factors of 43502 and 43506.

Prime Factorization of 43502

Prime Factorization of 43506

Now multiplying the highest exponent prime factors to calculate the LCM of 43502 and 43506.

LCM(43502,43506) = 2¹ × 21751¹ × 3² × 2417¹
LCM(43502,43506) = 946299006