What is the Least Common Multiple of 70286 and 70297?

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 70286 and 70297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70286 and 70297, than apply into the LCM equation.

GCF(70286,70297) = 1
LCM(70286,70297) = ( 70286 × 70297) / 1
LCM(70286,70297) = 4940894942 / 1
LCM(70286,70297) = 4940894942

Least Common Multiple (LCM) of 70286 and 70297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70286 and 70297. First we will calculate the prime factors of 70286 and 70297.

Prime Factorization of 70286

Prime Factorization of 70297

Now multiplying the highest exponent prime factors to calculate the LCM of 70286 and 70297.

LCM(70286,70297) = 2¹ × 113¹ × 311¹ × 70297¹
LCM(70286,70297) = 4940894942