What is the Least Common Multiple of 70296 and 70303?

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 70303 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 70303, than apply into the LCM equation.

GCF(70296,70303) = 1
LCM(70296,70303) = ( 70296 × 70303) / 1
LCM(70296,70303) = 4942019688 / 1
LCM(70296,70303) = 4942019688

Least Common Multiple (LCM) of 70296 and 70303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70296 and 70303. First we will calculate the prime factors of 70296 and 70303.

Prime Factorization of 70296

Prime Factorization of 70303

Now multiplying the highest exponent prime factors to calculate the LCM of 70296 and 70303.

LCM(70296,70303) = 2³ × 3¹ × 29¹ × 101¹ × 229¹ × 307¹
LCM(70296,70303) = 4942019688