What is the Least Common Multiple of 83430 and 83439?

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 83430 and 83439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83430 and 83439, than apply into the LCM equation.

GCF(83430,83439) = 9
LCM(83430,83439) = ( 83430 × 83439) / 9
LCM(83430,83439) = 6961315770 / 9
LCM(83430,83439) = 773479530

Least Common Multiple (LCM) of 83430 and 83439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83430 and 83439. First we will calculate the prime factors of 83430 and 83439.

Prime Factorization of 83430

Prime Factorization of 83439

Now multiplying the highest exponent prime factors to calculate the LCM of 83430 and 83439.

LCM(83430,83439) = 2¹ × 3⁴ × 5¹ × 103¹ × 73¹ × 127¹
LCM(83430,83439) = 773479530