GCF and LCM Calculator Logo

What is the Least Common Multiple of 91301 and 91320?

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 91301 and 91320 is 8337607320.

LCM(91301,91320) = 8337607320

LCM Calculator and
and

Least Common Multiple of 91301 and 91320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91301 and 91320, than apply into the LCM equation.

GCF(91301,91320) = 1
LCM(91301,91320) = ( 91301 × 91320) / 1
LCM(91301,91320) = 8337607320 / 1
LCM(91301,91320) = 8337607320

Least Common Multiple (LCM) of 91301 and 91320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91301 and 91320. First we will calculate the prime factors of 91301 and 91320.

Prime Factorization of 91301

Prime factors of 91301 are 7, 13043. Prime factorization of 91301 in exponential form is:

91301 = 71 × 130431

Prime Factorization of 91320

Prime factors of 91320 are 2, 3, 5, 761. Prime factorization of 91320 in exponential form is:

91320 = 23 × 31 × 51 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 91301 and 91320.

LCM(91301,91320) = 71 × 130431 × 23 × 31 × 51 × 7611
LCM(91301,91320) = 8337607320