What is the Least Common Multiple of 70191 and 70197?

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 70197 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 70197, than apply into the LCM equation.

GCF(70191,70197) = 3
LCM(70191,70197) = ( 70191 × 70197) / 3
LCM(70191,70197) = 4927197627 / 3
LCM(70191,70197) = 1642399209

Least Common Multiple (LCM) of 70191 and 70197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70191 and 70197. First we will calculate the prime factors of 70191 and 70197.

Prime Factorization of 70191

Prime Factorization of 70197

Now multiplying the highest exponent prime factors to calculate the LCM of 70191 and 70197.

LCM(70191,70197) = 3² × 11¹ × 709¹ × 23399¹
LCM(70191,70197) = 1642399209