GCF and LCM Calculator Logo

What is the Least Common Multiple of 43201 and 43218?

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 43201 and 43218 is 1867060818.

LCM(43201,43218) = 1867060818

LCM Calculator and
and

Least Common Multiple of 43201 and 43218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43201 and 43218, than apply into the LCM equation.

GCF(43201,43218) = 1
LCM(43201,43218) = ( 43201 × 43218) / 1
LCM(43201,43218) = 1867060818 / 1
LCM(43201,43218) = 1867060818

Least Common Multiple (LCM) of 43201 and 43218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43201 and 43218. First we will calculate the prime factors of 43201 and 43218.

Prime Factorization of 43201

Prime factors of 43201 are 43201. Prime factorization of 43201 in exponential form is:

43201 = 432011

Prime Factorization of 43218

Prime factors of 43218 are 2, 3, 7. Prime factorization of 43218 in exponential form is:

43218 = 21 × 32 × 74

Now multiplying the highest exponent prime factors to calculate the LCM of 43201 and 43218.

LCM(43201,43218) = 432011 × 21 × 32 × 74
LCM(43201,43218) = 1867060818