What is the Least Common Multiple of 70185 and 70191?

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 70185 and 70191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70185 and 70191, than apply into the LCM equation.

GCF(70185,70191) = 3
LCM(70185,70191) = ( 70185 × 70191) / 3
LCM(70185,70191) = 4926355335 / 3
LCM(70185,70191) = 1642118445

Least Common Multiple (LCM) of 70185 and 70191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70185 and 70191. First we will calculate the prime factors of 70185 and 70191.

Prime Factorization of 70185

Prime Factorization of 70191

Now multiplying the highest exponent prime factors to calculate the LCM of 70185 and 70191.

LCM(70185,70191) = 3² × 5¹ × 4679¹ × 11¹ × 709¹
LCM(70185,70191) = 1642118445