What is the Least Common Multiple of 70257 and 70266?

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 70257 and 70266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70257 and 70266, than apply into the LCM equation.

GCF(70257,70266) = 3
LCM(70257,70266) = ( 70257 × 70266) / 3
LCM(70257,70266) = 4936678362 / 3
LCM(70257,70266) = 1645559454

Least Common Multiple (LCM) of 70257 and 70266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70257 and 70266. First we will calculate the prime factors of 70257 and 70266.

Prime Factorization of 70257

Prime Factorization of 70266

Now multiplying the highest exponent prime factors to calculate the LCM of 70257 and 70266.

LCM(70257,70266) = 3¹ × 11¹ × 2129¹ × 2¹ × 7² × 239¹
LCM(70257,70266) = 1645559454