GCF and LCM Calculator Logo

What is the Least Common Multiple of 43245 and 43253?

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 43245 and 43253 is 1870475985.

LCM(43245,43253) = 1870475985

LCM Calculator and
and

Least Common Multiple of 43245 and 43253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43245 and 43253, than apply into the LCM equation.

GCF(43245,43253) = 1
LCM(43245,43253) = ( 43245 × 43253) / 1
LCM(43245,43253) = 1870475985 / 1
LCM(43245,43253) = 1870475985

Least Common Multiple (LCM) of 43245 and 43253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43245 and 43253. First we will calculate the prime factors of 43245 and 43253.

Prime Factorization of 43245

Prime factors of 43245 are 3, 5, 31. Prime factorization of 43245 in exponential form is:

43245 = 32 × 51 × 312

Prime Factorization of 43253

Prime factors of 43253 are 7, 37, 167. Prime factorization of 43253 in exponential form is:

43253 = 71 × 371 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 43245 and 43253.

LCM(43245,43253) = 32 × 51 × 312 × 71 × 371 × 1671
LCM(43245,43253) = 1870475985