GCF and LCM Calculator Logo

What is the Least Common Multiple of 87843 and 87847?

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 87843 and 87847 is 7716744021.

LCM(87843,87847) = 7716744021

LCM Calculator and
and

Least Common Multiple of 87843 and 87847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87843 and 87847, than apply into the LCM equation.

GCF(87843,87847) = 1
LCM(87843,87847) = ( 87843 × 87847) / 1
LCM(87843,87847) = 7716744021 / 1
LCM(87843,87847) = 7716744021

Least Common Multiple (LCM) of 87843 and 87847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87843 and 87847. First we will calculate the prime factors of 87843 and 87847.

Prime Factorization of 87843

Prime factors of 87843 are 3, 7, 47, 89. Prime factorization of 87843 in exponential form is:

87843 = 31 × 71 × 471 × 891

Prime Factorization of 87847

Prime factors of 87847 are 107, 821. Prime factorization of 87847 in exponential form is:

87847 = 1071 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 87843 and 87847.

LCM(87843,87847) = 31 × 71 × 471 × 891 × 1071 × 8211
LCM(87843,87847) = 7716744021