GCF and LCM Calculator Logo

What is the Least Common Multiple of 43503 and 43518?

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 43503 and 43518 is 631054518.

LCM(43503,43518) = 631054518

LCM Calculator and
and

Least Common Multiple of 43503 and 43518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43503 and 43518, than apply into the LCM equation.

GCF(43503,43518) = 3
LCM(43503,43518) = ( 43503 × 43518) / 3
LCM(43503,43518) = 1893163554 / 3
LCM(43503,43518) = 631054518

Least Common Multiple (LCM) of 43503 and 43518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43503 and 43518. First we will calculate the prime factors of 43503 and 43518.

Prime Factorization of 43503

Prime factors of 43503 are 3, 17, 853. Prime factorization of 43503 in exponential form is:

43503 = 31 × 171 × 8531

Prime Factorization of 43518

Prime factors of 43518 are 2, 3, 7253. Prime factorization of 43518 in exponential form is:

43518 = 21 × 31 × 72531

Now multiplying the highest exponent prime factors to calculate the LCM of 43503 and 43518.

LCM(43503,43518) = 31 × 171 × 8531 × 21 × 72531
LCM(43503,43518) = 631054518