GCF and LCM Calculator Logo

What is the Least Common Multiple of 66278 and 66297?

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 66278 and 66297 is 4394032566.

LCM(66278,66297) = 4394032566

LCM Calculator and
and

Least Common Multiple of 66278 and 66297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66278 and 66297, than apply into the LCM equation.

GCF(66278,66297) = 1
LCM(66278,66297) = ( 66278 × 66297) / 1
LCM(66278,66297) = 4394032566 / 1
LCM(66278,66297) = 4394032566

Least Common Multiple (LCM) of 66278 and 66297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66278 and 66297. First we will calculate the prime factors of 66278 and 66297.

Prime Factorization of 66278

Prime factors of 66278 are 2, 31, 1069. Prime factorization of 66278 in exponential form is:

66278 = 21 × 311 × 10691

Prime Factorization of 66297

Prime factors of 66297 are 3, 7, 11, 41. Prime factorization of 66297 in exponential form is:

66297 = 31 × 72 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 66278 and 66297.

LCM(66278,66297) = 21 × 311 × 10691 × 31 × 72 × 111 × 411
LCM(66278,66297) = 4394032566