What is the Least Common Multiple of 43472 and 43491?

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 43472 and 43491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43472 and 43491, than apply into the LCM equation.

GCF(43472,43491) = 19
LCM(43472,43491) = ( 43472 × 43491) / 19
LCM(43472,43491) = 1890640752 / 19
LCM(43472,43491) = 99507408

Least Common Multiple (LCM) of 43472 and 43491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43472 and 43491. First we will calculate the prime factors of 43472 and 43491.

Prime Factorization of 43472

Prime Factorization of 43491

Now multiplying the highest exponent prime factors to calculate the LCM of 43472 and 43491.

LCM(43472,43491) = 2⁴ × 11¹ × 13¹ × 19¹ × 3¹ × 7¹ × 109¹
LCM(43472,43491) = 99507408