What is the Least Common Multiple of 70191 and 70211?

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 70211 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 70211, than apply into the LCM equation.

GCF(70191,70211) = 1
LCM(70191,70211) = ( 70191 × 70211) / 1
LCM(70191,70211) = 4928180301 / 1
LCM(70191,70211) = 4928180301

Least Common Multiple (LCM) of 70191 and 70211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70191 and 70211. First we will calculate the prime factors of 70191 and 70211.

Prime Factorization of 70191

Prime Factorization of 70211

Now multiplying the highest exponent prime factors to calculate the LCM of 70191 and 70211.

LCM(70191,70211) = 3² × 11¹ × 709¹ × 61¹ × 1151¹
LCM(70191,70211) = 4928180301