What is the Least Common Multiple of 97308 and 97325?

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 97308 and 97325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97308 and 97325, than apply into the LCM equation.

GCF(97308,97325) = 17
LCM(97308,97325) = ( 97308 × 97325) / 17
LCM(97308,97325) = 9470501100 / 17
LCM(97308,97325) = 557088300

Least Common Multiple (LCM) of 97308 and 97325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97308 and 97325. First we will calculate the prime factors of 97308 and 97325.

Prime Factorization of 97308

Prime Factorization of 97325

Now multiplying the highest exponent prime factors to calculate the LCM of 97308 and 97325.

LCM(97308,97325) = 2² × 3³ × 17¹ × 53¹ × 5² × 229¹
LCM(97308,97325) = 557088300