What is the Least Common Multiple of 83502 and 83506?

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 83502 and 83506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83502 and 83506, than apply into the LCM equation.

GCF(83502,83506) = 2
LCM(83502,83506) = ( 83502 × 83506) / 2
LCM(83502,83506) = 6972918012 / 2
LCM(83502,83506) = 3486459006

Least Common Multiple (LCM) of 83502 and 83506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83502 and 83506. First we will calculate the prime factors of 83502 and 83506.

Prime Factorization of 83502

Prime Factorization of 83506

Now multiplying the highest exponent prime factors to calculate the LCM of 83502 and 83506.

LCM(83502,83506) = 2¹ × 3² × 4639¹ × 43¹ × 971¹
LCM(83502,83506) = 3486459006