What is the Least Common Multiple of 70296 and 70308?

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 70296 and 70308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70296 and 70308, than apply into the LCM equation.

GCF(70296,70308) = 12
LCM(70296,70308) = ( 70296 × 70308) / 12
LCM(70296,70308) = 4942371168 / 12
LCM(70296,70308) = 411864264

Least Common Multiple (LCM) of 70296 and 70308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70296 and 70308. First we will calculate the prime factors of 70296 and 70308.

Prime Factorization of 70296

Prime Factorization of 70308

Now multiplying the highest exponent prime factors to calculate the LCM of 70296 and 70308.

LCM(70296,70308) = 2³ × 3⁴ × 29¹ × 101¹ × 7¹ × 31¹
LCM(70296,70308) = 411864264