GCF and LCM Calculator Logo

What is the Least Common Multiple of 43008 and 43015?

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 43008 and 43015 is 264284160.

LCM(43008,43015) = 264284160

LCM Calculator and
and

Least Common Multiple of 43008 and 43015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43008 and 43015, than apply into the LCM equation.

GCF(43008,43015) = 7
LCM(43008,43015) = ( 43008 × 43015) / 7
LCM(43008,43015) = 1849989120 / 7
LCM(43008,43015) = 264284160

Least Common Multiple (LCM) of 43008 and 43015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43008 and 43015. First we will calculate the prime factors of 43008 and 43015.

Prime Factorization of 43008

Prime factors of 43008 are 2, 3, 7. Prime factorization of 43008 in exponential form is:

43008 = 211 × 31 × 71

Prime Factorization of 43015

Prime factors of 43015 are 5, 7, 1229. Prime factorization of 43015 in exponential form is:

43015 = 51 × 71 × 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 43008 and 43015.

LCM(43008,43015) = 211 × 31 × 71 × 51 × 12291
LCM(43008,43015) = 264284160