GCF and LCM Calculator Logo

What is the Least Common Multiple of 91209 and 91223?

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 91209 and 91223 is 8320358607.

LCM(91209,91223) = 8320358607

LCM Calculator and
and

Least Common Multiple of 91209 and 91223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91209 and 91223, than apply into the LCM equation.

GCF(91209,91223) = 1
LCM(91209,91223) = ( 91209 × 91223) / 1
LCM(91209,91223) = 8320358607 / 1
LCM(91209,91223) = 8320358607

Least Common Multiple (LCM) of 91209 and 91223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91209 and 91223. First we will calculate the prime factors of 91209 and 91223.

Prime Factorization of 91209

Prime factors of 91209 are 3, 30403. Prime factorization of 91209 in exponential form is:

91209 = 31 × 304031

Prime Factorization of 91223

Prime factors of 91223 are 11, 8293. Prime factorization of 91223 in exponential form is:

91223 = 111 × 82931

Now multiplying the highest exponent prime factors to calculate the LCM of 91209 and 91223.

LCM(91209,91223) = 31 × 304031 × 111 × 82931
LCM(91209,91223) = 8320358607