GCF and LCM Calculator Logo

What is the Least Common Multiple of 91553 and 91563?

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 91553 and 91563 is 8382867339.

LCM(91553,91563) = 8382867339

LCM Calculator and
and

Least Common Multiple of 91553 and 91563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91553 and 91563, than apply into the LCM equation.

GCF(91553,91563) = 1
LCM(91553,91563) = ( 91553 × 91563) / 1
LCM(91553,91563) = 8382867339 / 1
LCM(91553,91563) = 8382867339

Least Common Multiple (LCM) of 91553 and 91563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91553 and 91563. First we will calculate the prime factors of 91553 and 91563.

Prime Factorization of 91553

Prime factors of 91553 are 7, 11, 29, 41. Prime factorization of 91553 in exponential form is:

91553 = 71 × 111 × 291 × 411

Prime Factorization of 91563

Prime factors of 91563 are 3, 23, 1327. Prime factorization of 91563 in exponential form is:

91563 = 31 × 231 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 91553 and 91563.

LCM(91553,91563) = 71 × 111 × 291 × 411 × 31 × 231 × 13271
LCM(91553,91563) = 8382867339