What is the Least Common Multiple of 78698 and 78717?

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 78698 and 78717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78698 and 78717, than apply into the LCM equation.

GCF(78698,78717) = 19
LCM(78698,78717) = ( 78698 × 78717) / 19
LCM(78698,78717) = 6194870466 / 19
LCM(78698,78717) = 326045814

Least Common Multiple (LCM) of 78698 and 78717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78698 and 78717. First we will calculate the prime factors of 78698 and 78717.

Prime Factorization of 78698

Prime Factorization of 78717

Now multiplying the highest exponent prime factors to calculate the LCM of 78698 and 78717.

LCM(78698,78717) = 2¹ × 19² × 109¹ × 3¹ × 1381¹
LCM(78698,78717) = 326045814