What is the Least Common Multiple of 70284 and 70293?

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 70284 and 70293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70284 and 70293, than apply into the LCM equation.

GCF(70284,70293) = 3
LCM(70284,70293) = ( 70284 × 70293) / 3
LCM(70284,70293) = 4940473212 / 3
LCM(70284,70293) = 1646824404

Least Common Multiple (LCM) of 70284 and 70293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70284 and 70293. First we will calculate the prime factors of 70284 and 70293.

Prime Factorization of 70284

Prime Factorization of 70293

Now multiplying the highest exponent prime factors to calculate the LCM of 70284 and 70293.

LCM(70284,70293) = 2² × 3¹ × 5857¹ × 23431¹
LCM(70284,70293) = 1646824404