What is the Least Common Multiple of 67424 and 67443?

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 67424 and 67443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67424 and 67443, than apply into the LCM equation.

GCF(67424,67443) = 1
LCM(67424,67443) = ( 67424 × 67443) / 1
LCM(67424,67443) = 4547276832 / 1
LCM(67424,67443) = 4547276832

Least Common Multiple (LCM) of 67424 and 67443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67424 and 67443. First we will calculate the prime factors of 67424 and 67443.

Prime Factorization of 67424

Prime Factorization of 67443

Now multiplying the highest exponent prime factors to calculate the LCM of 67424 and 67443.

LCM(67424,67443) = 2⁵ × 7² × 43¹ × 3¹ × 22481¹
LCM(67424,67443) = 4547276832