What is the Least Common Multiple of 78273 and 78281?

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 78273 and 78281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78273 and 78281, than apply into the LCM equation.

GCF(78273,78281) = 1
LCM(78273,78281) = ( 78273 × 78281) / 1
LCM(78273,78281) = 6127288713 / 1
LCM(78273,78281) = 6127288713

Least Common Multiple (LCM) of 78273 and 78281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78273 and 78281. First we will calculate the prime factors of 78273 and 78281.

Prime Factorization of 78273

Prime Factorization of 78281

Now multiplying the highest exponent prime factors to calculate the LCM of 78273 and 78281.

LCM(78273,78281) = 3³ × 13¹ × 223¹ × 7¹ × 53¹ × 211¹
LCM(78273,78281) = 6127288713