GCF and LCM Calculator Logo

What is the Least Common Multiple of 87863 and 87883?

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 87863 and 87883 is 7721664029.

LCM(87863,87883) = 7721664029

LCM Calculator and
and

Least Common Multiple of 87863 and 87883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87863 and 87883, than apply into the LCM equation.

GCF(87863,87883) = 1
LCM(87863,87883) = ( 87863 × 87883) / 1
LCM(87863,87883) = 7721664029 / 1
LCM(87863,87883) = 7721664029

Least Common Multiple (LCM) of 87863 and 87883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87863 and 87883. First we will calculate the prime factors of 87863 and 87883.

Prime Factorization of 87863

Prime factors of 87863 are 41, 2143. Prime factorization of 87863 in exponential form is:

87863 = 411 × 21431

Prime Factorization of 87883

Prime factors of 87883 are 23, 3821. Prime factorization of 87883 in exponential form is:

87883 = 231 × 38211

Now multiplying the highest exponent prime factors to calculate the LCM of 87863 and 87883.

LCM(87863,87883) = 411 × 21431 × 231 × 38211
LCM(87863,87883) = 7721664029