GCF and LCM Calculator Logo

What is the Least Common Multiple of 97585 and 97599?

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 (LCM) of 97585 and 97599 is 9524198415.

LCM(97585,97599) = 9524198415

LCM Calculator and
and

Least Common Multiple of 97585 and 97599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97585 and 97599, than apply into the LCM equation.

GCF(97585,97599) = 1
LCM(97585,97599) = ( 97585 × 97599) / 1
LCM(97585,97599) = 9524198415 / 1
LCM(97585,97599) = 9524198415

Least Common Multiple (LCM) of 97585 and 97599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97585 and 97599. First we will calculate the prime factors of 97585 and 97599.

Prime Factorization of 97585

Prime factors of 97585 are 5, 29, 673. Prime factorization of 97585 in exponential form is:

97585 = 51 × 291 × 6731

Prime Factorization of 97599

Prime factors of 97599 are 3, 32533. Prime factorization of 97599 in exponential form is:

97599 = 31 × 325331

Now multiplying the highest exponent prime factors to calculate the LCM of 97585 and 97599.

LCM(97585,97599) = 51 × 291 × 6731 × 31 × 325331
LCM(97585,97599) = 9524198415