What is the Least Common Multiple of 4471 and 4487?

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 4471 and 4487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4471 and 4487, than apply into the LCM equation.

GCF(4471,4487) = 1
LCM(4471,4487) = ( 4471 × 4487) / 1
LCM(4471,4487) = 20061377 / 1
LCM(4471,4487) = 20061377

Least Common Multiple (LCM) of 4471 and 4487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4471 and 4487. First we will calculate the prime factors of 4471 and 4487.

Prime Factorization of 4471

Prime Factorization of 4487

Now multiplying the highest exponent prime factors to calculate the LCM of 4471 and 4487.

LCM(4471,4487) = 17¹ × 263¹ × 7¹ × 641¹
LCM(4471,4487) = 20061377