What is the Least Common Multiple of 70296 and 70307?

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 70307 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 70307, than apply into the LCM equation.

GCF(70296,70307) = 1
LCM(70296,70307) = ( 70296 × 70307) / 1
LCM(70296,70307) = 4942300872 / 1
LCM(70296,70307) = 4942300872

Least Common Multiple (LCM) of 70296 and 70307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70296 and 70307. First we will calculate the prime factors of 70296 and 70307.

Prime Factorization of 70296

Prime Factorization of 70307

Now multiplying the highest exponent prime factors to calculate the LCM of 70296 and 70307.

LCM(70296,70307) = 2³ × 3¹ × 29¹ × 101¹ × 167¹ × 421¹
LCM(70296,70307) = 4942300872