What is the Least Common Multiple of 97408 and 97425?

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 97408 and 97425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97408 and 97425, than apply into the LCM equation.

GCF(97408,97425) = 1
LCM(97408,97425) = ( 97408 × 97425) / 1
LCM(97408,97425) = 9489974400 / 1
LCM(97408,97425) = 9489974400

Least Common Multiple (LCM) of 97408 and 97425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97408 and 97425. First we will calculate the prime factors of 97408 and 97425.

Prime Factorization of 97408

Prime Factorization of 97425

Now multiplying the highest exponent prime factors to calculate the LCM of 97408 and 97425.

LCM(97408,97425) = 2⁷ × 761¹ × 3² × 5² × 433¹
LCM(97408,97425) = 9489974400