What is the Least Common Multiple of 78191 and 78208?

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 78191 and 78208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78191 and 78208, than apply into the LCM equation.

GCF(78191,78208) = 1
LCM(78191,78208) = ( 78191 × 78208) / 1
LCM(78191,78208) = 6115161728 / 1
LCM(78191,78208) = 6115161728

Least Common Multiple (LCM) of 78191 and 78208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78191 and 78208. First we will calculate the prime factors of 78191 and 78208.

Prime Factorization of 78191

Prime Factorization of 78208

Now multiplying the highest exponent prime factors to calculate the LCM of 78191 and 78208.

LCM(78191,78208) = 78191¹ × 2⁷ × 13¹ × 47¹
LCM(78191,78208) = 6115161728