What is the Least Common Multiple of 78701 and 78709?

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 78701 and 78709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78701 and 78709, than apply into the LCM equation.

GCF(78701,78709) = 1
LCM(78701,78709) = ( 78701 × 78709) / 1
LCM(78701,78709) = 6194477009 / 1
LCM(78701,78709) = 6194477009

Least Common Multiple (LCM) of 78701 and 78709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78701 and 78709. First we will calculate the prime factors of 78701 and 78709.

Prime Factorization of 78701

Prime Factorization of 78709

Now multiplying the highest exponent prime factors to calculate the LCM of 78701 and 78709.

LCM(78701,78709) = 7¹ × 11243¹ × 31¹ × 2539¹
LCM(78701,78709) = 6194477009