GCF and LCM Calculator Logo

What is the Least Common Multiple of 86567 and 86571?

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 86567 and 86571 is 7494191757.

LCM(86567,86571) = 7494191757

LCM Calculator and
and

Least Common Multiple of 86567 and 86571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86567 and 86571, than apply into the LCM equation.

GCF(86567,86571) = 1
LCM(86567,86571) = ( 86567 × 86571) / 1
LCM(86567,86571) = 7494191757 / 1
LCM(86567,86571) = 7494191757

Least Common Multiple (LCM) of 86567 and 86571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86567 and 86571. First we will calculate the prime factors of 86567 and 86571.

Prime Factorization of 86567

Prime factors of 86567 are 13, 6659. Prime factorization of 86567 in exponential form is:

86567 = 131 × 66591

Prime Factorization of 86571

Prime factors of 86571 are 3, 9619. Prime factorization of 86571 in exponential form is:

86571 = 32 × 96191

Now multiplying the highest exponent prime factors to calculate the LCM of 86567 and 86571.

LCM(86567,86571) = 131 × 66591 × 32 × 96191
LCM(86567,86571) = 7494191757