What is the Least Common Multiple of 70257 and 70273?

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 70273 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 70273, than apply into the LCM equation.

GCF(70257,70273) = 1
LCM(70257,70273) = ( 70257 × 70273) / 1
LCM(70257,70273) = 4937170161 / 1
LCM(70257,70273) = 4937170161

Least Common Multiple (LCM) of 70257 and 70273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70257 and 70273. First we will calculate the prime factors of 70257 and 70273.

Prime Factorization of 70257

Prime Factorization of 70273

Now multiplying the highest exponent prime factors to calculate the LCM of 70257 and 70273.

LCM(70257,70273) = 3¹ × 11¹ × 2129¹ × 7¹ × 10039¹
LCM(70257,70273) = 4937170161