GCF and LCM Calculator Logo

What is the Least Common Multiple of 66082 and 66087?

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 66082 and 66087 is 4367161134.

LCM(66082,66087) = 4367161134

LCM Calculator and
and

Least Common Multiple of 66082 and 66087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66082 and 66087, than apply into the LCM equation.

GCF(66082,66087) = 1
LCM(66082,66087) = ( 66082 × 66087) / 1
LCM(66082,66087) = 4367161134 / 1
LCM(66082,66087) = 4367161134

Least Common Multiple (LCM) of 66082 and 66087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66082 and 66087. First we will calculate the prime factors of 66082 and 66087.

Prime Factorization of 66082

Prime factors of 66082 are 2, 19, 37, 47. Prime factorization of 66082 in exponential form is:

66082 = 21 × 191 × 371 × 471

Prime Factorization of 66087

Prime factors of 66087 are 3, 7, 1049. Prime factorization of 66087 in exponential form is:

66087 = 32 × 71 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 66082 and 66087.

LCM(66082,66087) = 21 × 191 × 371 × 471 × 32 × 71 × 10491
LCM(66082,66087) = 4367161134