GCF and LCM Calculator Logo

What is the Least Common Multiple of 97351 and 97365?

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 97351 and 97365 is 9478580115.

LCM(97351,97365) = 9478580115

LCM Calculator and
and

Least Common Multiple of 97351 and 97365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97351 and 97365, than apply into the LCM equation.

GCF(97351,97365) = 1
LCM(97351,97365) = ( 97351 × 97365) / 1
LCM(97351,97365) = 9478580115 / 1
LCM(97351,97365) = 9478580115

Least Common Multiple (LCM) of 97351 and 97365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97351 and 97365. First we will calculate the prime factors of 97351 and 97365.

Prime Factorization of 97351

Prime factors of 97351 are 67, 1453. Prime factorization of 97351 in exponential form is:

97351 = 671 × 14531

Prime Factorization of 97365

Prime factors of 97365 are 3, 5, 6491. Prime factorization of 97365 in exponential form is:

97365 = 31 × 51 × 64911

Now multiplying the highest exponent prime factors to calculate the LCM of 97351 and 97365.

LCM(97351,97365) = 671 × 14531 × 31 × 51 × 64911
LCM(97351,97365) = 9478580115