What is the Least Common Multiple of 70213 and 70217?

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 70213 and 70217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70213 and 70217, than apply into the LCM equation.

GCF(70213,70217) = 1
LCM(70213,70217) = ( 70213 × 70217) / 1
LCM(70213,70217) = 4930146221 / 1
LCM(70213,70217) = 4930146221

Least Common Multiple (LCM) of 70213 and 70217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70213 and 70217. First we will calculate the prime factors of 70213 and 70217.

Prime Factorization of 70213

Prime Factorization of 70217

Now multiplying the highest exponent prime factors to calculate the LCM of 70213 and 70217.

LCM(70213,70217) = 11¹ × 13¹ × 491¹ × 7² × 1433¹
LCM(70213,70217) = 4930146221