What is the Least Common Multiple of 70239 and 70257?

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 70239 and 70257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70239 and 70257, than apply into the LCM equation.

GCF(70239,70257) = 3
LCM(70239,70257) = ( 70239 × 70257) / 3
LCM(70239,70257) = 4934781423 / 3
LCM(70239,70257) = 1644927141

Least Common Multiple (LCM) of 70239 and 70257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70239 and 70257. First we will calculate the prime factors of 70239 and 70257.

Prime Factorization of 70239

Prime Factorization of 70257

Now multiplying the highest exponent prime factors to calculate the LCM of 70239 and 70257.

LCM(70239,70257) = 3¹ × 13¹ × 1801¹ × 11¹ × 2129¹
LCM(70239,70257) = 1644927141