What is the Least Common Multiple of 78459 and 78463?

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 78459 and 78463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78459 and 78463, than apply into the LCM equation.

GCF(78459,78463) = 1
LCM(78459,78463) = ( 78459 × 78463) / 1
LCM(78459,78463) = 6156128517 / 1
LCM(78459,78463) = 6156128517

Least Common Multiple (LCM) of 78459 and 78463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78459 and 78463. First we will calculate the prime factors of 78459 and 78463.

Prime Factorization of 78459

Prime Factorization of 78463

Now multiplying the highest exponent prime factors to calculate the LCM of 78459 and 78463.

LCM(78459,78463) = 3¹ × 26153¹ × 7¹ × 11¹ × 1019¹
LCM(78459,78463) = 6156128517