GCF and LCM Calculator Logo

What is the Least Common Multiple of 91205 and 91217?

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 91205 and 91217 is 8319446485.

LCM(91205,91217) = 8319446485

LCM Calculator and
and

Least Common Multiple of 91205 and 91217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91205 and 91217, than apply into the LCM equation.

GCF(91205,91217) = 1
LCM(91205,91217) = ( 91205 × 91217) / 1
LCM(91205,91217) = 8319446485 / 1
LCM(91205,91217) = 8319446485

Least Common Multiple (LCM) of 91205 and 91217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91205 and 91217. First we will calculate the prime factors of 91205 and 91217.

Prime Factorization of 91205

Prime factors of 91205 are 5, 17, 29, 37. Prime factorization of 91205 in exponential form is:

91205 = 51 × 171 × 291 × 371

Prime Factorization of 91217

Prime factors of 91217 are 7, 83, 157. Prime factorization of 91217 in exponential form is:

91217 = 71 × 831 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 91205 and 91217.

LCM(91205,91217) = 51 × 171 × 291 × 371 × 71 × 831 × 1571
LCM(91205,91217) = 8319446485