What is the Least Common Multiple of 71298 and 71304?

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 71298 and 71304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71298 and 71304, than apply into the LCM equation.

GCF(71298,71304) = 6
LCM(71298,71304) = ( 71298 × 71304) / 6
LCM(71298,71304) = 5083832592 / 6
LCM(71298,71304) = 847305432

Least Common Multiple (LCM) of 71298 and 71304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71298 and 71304. First we will calculate the prime factors of 71298 and 71304.

Prime Factorization of 71298

Prime Factorization of 71304

Now multiplying the highest exponent prime factors to calculate the LCM of 71298 and 71304.

LCM(71298,71304) = 2³ × 3² × 17¹ × 233¹ × 2971¹
LCM(71298,71304) = 847305432