What is the Least Common Multiple of 43491 and 43498?

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 of 43491 and 43498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43491 and 43498, than apply into the LCM equation.

GCF(43491,43498) = 7
LCM(43491,43498) = ( 43491 × 43498) / 7
LCM(43491,43498) = 1891771518 / 7
LCM(43491,43498) = 270253074

Least Common Multiple (LCM) of 43491 and 43498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43491 and 43498. First we will calculate the prime factors of 43491 and 43498.

Prime Factorization of 43491

Prime Factorization of 43498

Now multiplying the highest exponent prime factors to calculate the LCM of 43491 and 43498.

LCM(43491,43498) = 3¹ × 7¹ × 19¹ × 109¹ × 2¹ × 13¹ × 239¹
LCM(43491,43498) = 270253074