What is the Least Common Multiple of 4475 and 4488?

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 4475 and 4488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4475 and 4488, than apply into the LCM equation.

GCF(4475,4488) = 1
LCM(4475,4488) = ( 4475 × 4488) / 1
LCM(4475,4488) = 20083800 / 1
LCM(4475,4488) = 20083800

Least Common Multiple (LCM) of 4475 and 4488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4475 and 4488. First we will calculate the prime factors of 4475 and 4488.

Prime Factorization of 4475

Prime Factorization of 4488

Now multiplying the highest exponent prime factors to calculate the LCM of 4475 and 4488.

LCM(4475,4488) = 5² × 179¹ × 2³ × 3¹ × 11¹ × 17¹
LCM(4475,4488) = 20083800