GCF and LCM Calculator Logo

What is the Least Common Multiple of 65561 and 65572?

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 65561 and 65572 is 4298965892.

LCM(65561,65572) = 4298965892

LCM Calculator and
and

Least Common Multiple of 65561 and 65572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65561 and 65572, than apply into the LCM equation.

GCF(65561,65572) = 1
LCM(65561,65572) = ( 65561 × 65572) / 1
LCM(65561,65572) = 4298965892 / 1
LCM(65561,65572) = 4298965892

Least Common Multiple (LCM) of 65561 and 65572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65561 and 65572. First we will calculate the prime factors of 65561 and 65572.

Prime Factorization of 65561

Prime factors of 65561 are 53, 1237. Prime factorization of 65561 in exponential form is:

65561 = 531 × 12371

Prime Factorization of 65572

Prime factors of 65572 are 2, 13, 97. Prime factorization of 65572 in exponential form is:

65572 = 22 × 132 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 65561 and 65572.

LCM(65561,65572) = 531 × 12371 × 22 × 132 × 971
LCM(65561,65572) = 4298965892