What is the Least Common Multiple of 97209 and 97216?

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 97209 and 97216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97209 and 97216, than apply into the LCM equation.

GCF(97209,97216) = 7
LCM(97209,97216) = ( 97209 × 97216) / 7
LCM(97209,97216) = 9450270144 / 7
LCM(97209,97216) = 1350038592

Least Common Multiple (LCM) of 97209 and 97216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97209 and 97216. First we will calculate the prime factors of 97209 and 97216.

Prime Factorization of 97209

Prime Factorization of 97216

Now multiplying the highest exponent prime factors to calculate the LCM of 97209 and 97216.

LCM(97209,97216) = 3² × 7² × 1543¹ × 2⁶ × 31¹
LCM(97209,97216) = 1350038592