What is the Least Common Multiple of 97794 and 97809?

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 97794 and 97809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97794 and 97809, than apply into the LCM equation.

GCF(97794,97809) = 3
LCM(97794,97809) = ( 97794 × 97809) / 3
LCM(97794,97809) = 9565133346 / 3
LCM(97794,97809) = 3188377782

Least Common Multiple (LCM) of 97794 and 97809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97794 and 97809. First we will calculate the prime factors of 97794 and 97809.

Prime Factorization of 97794

Prime Factorization of 97809

Now multiplying the highest exponent prime factors to calculate the LCM of 97794 and 97809.

LCM(97794,97809) = 2¹ × 3³ × 1811¹ × 32603¹
LCM(97794,97809) = 3188377782