What is the Least Common Multiple of 70191 and 70201?

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 70191 and 70201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70191 and 70201, than apply into the LCM equation.

GCF(70191,70201) = 1
LCM(70191,70201) = ( 70191 × 70201) / 1
LCM(70191,70201) = 4927478391 / 1
LCM(70191,70201) = 4927478391

Least Common Multiple (LCM) of 70191 and 70201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70191 and 70201. First we will calculate the prime factors of 70191 and 70201.

Prime Factorization of 70191

Prime Factorization of 70201

Now multiplying the highest exponent prime factors to calculate the LCM of 70191 and 70201.

LCM(70191,70201) = 3² × 11¹ × 709¹ × 70201¹
LCM(70191,70201) = 4927478391