GCF and LCM Calculator Logo

What is the Least Common Multiple of 81558 and 81572?

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 81558 and 81572 is 3326424588.

LCM(81558,81572) = 3326424588

LCM Calculator and
and

Least Common Multiple of 81558 and 81572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81558 and 81572, than apply into the LCM equation.

GCF(81558,81572) = 2
LCM(81558,81572) = ( 81558 × 81572) / 2
LCM(81558,81572) = 6652849176 / 2
LCM(81558,81572) = 3326424588

Least Common Multiple (LCM) of 81558 and 81572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81558 and 81572. First we will calculate the prime factors of 81558 and 81572.

Prime Factorization of 81558

Prime factors of 81558 are 2, 3, 23, 197. Prime factorization of 81558 in exponential form is:

81558 = 21 × 32 × 231 × 1971

Prime Factorization of 81572

Prime factors of 81572 are 2, 20393. Prime factorization of 81572 in exponential form is:

81572 = 22 × 203931

Now multiplying the highest exponent prime factors to calculate the LCM of 81558 and 81572.

LCM(81558,81572) = 22 × 32 × 231 × 1971 × 203931
LCM(81558,81572) = 3326424588