GCF and LCM Calculator Logo

What is the Least Common Multiple of 92522 and 92535?

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 92522 and 92535 is 8561523270.

LCM(92522,92535) = 8561523270

LCM Calculator and
and

Least Common Multiple of 92522 and 92535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92522 and 92535, than apply into the LCM equation.

GCF(92522,92535) = 1
LCM(92522,92535) = ( 92522 × 92535) / 1
LCM(92522,92535) = 8561523270 / 1
LCM(92522,92535) = 8561523270

Least Common Multiple (LCM) of 92522 and 92535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92522 and 92535. First we will calculate the prime factors of 92522 and 92535.

Prime Factorization of 92522

Prime factors of 92522 are 2, 46261. Prime factorization of 92522 in exponential form is:

92522 = 21 × 462611

Prime Factorization of 92535

Prime factors of 92535 are 3, 5, 31, 199. Prime factorization of 92535 in exponential form is:

92535 = 31 × 51 × 311 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 92522 and 92535.

LCM(92522,92535) = 21 × 462611 × 31 × 51 × 311 × 1991
LCM(92522,92535) = 8561523270