What is the Least Common Multiple of 67472 and 67491?

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 67472 and 67491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67472 and 67491, than apply into the LCM equation.

GCF(67472,67491) = 1
LCM(67472,67491) = ( 67472 × 67491) / 1
LCM(67472,67491) = 4553752752 / 1
LCM(67472,67491) = 4553752752

Least Common Multiple (LCM) of 67472 and 67491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67472 and 67491. First we will calculate the prime factors of 67472 and 67491.

Prime Factorization of 67472

Prime Factorization of 67491

Now multiplying the highest exponent prime factors to calculate the LCM of 67472 and 67491.

LCM(67472,67491) = 2⁴ × 4217¹ × 3² × 7499¹
LCM(67472,67491) = 4553752752