GCF and LCM Calculator Logo

What is the Least Common Multiple of 86055 and 86068?

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 86055 and 86068 is 7406581740.

LCM(86055,86068) = 7406581740

LCM Calculator and
and

Least Common Multiple of 86055 and 86068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86055 and 86068, than apply into the LCM equation.

GCF(86055,86068) = 1
LCM(86055,86068) = ( 86055 × 86068) / 1
LCM(86055,86068) = 7406581740 / 1
LCM(86055,86068) = 7406581740

Least Common Multiple (LCM) of 86055 and 86068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86055 and 86068. First we will calculate the prime factors of 86055 and 86068.

Prime Factorization of 86055

Prime factors of 86055 are 3, 5, 5737. Prime factorization of 86055 in exponential form is:

86055 = 31 × 51 × 57371

Prime Factorization of 86068

Prime factors of 86068 are 2, 21517. Prime factorization of 86068 in exponential form is:

86068 = 22 × 215171

Now multiplying the highest exponent prime factors to calculate the LCM of 86055 and 86068.

LCM(86055,86068) = 31 × 51 × 57371 × 22 × 215171
LCM(86055,86068) = 7406581740