What is the Least Common Multiple of 4578 and 4598?

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 4578 and 4598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4578 and 4598, than apply into the LCM equation.

GCF(4578,4598) = 2
LCM(4578,4598) = ( 4578 × 4598) / 2
LCM(4578,4598) = 21049644 / 2
LCM(4578,4598) = 10524822

Least Common Multiple (LCM) of 4578 and 4598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4578 and 4598. First we will calculate the prime factors of 4578 and 4598.

Prime Factorization of 4578

Prime Factorization of 4598

Now multiplying the highest exponent prime factors to calculate the LCM of 4578 and 4598.

LCM(4578,4598) = 2¹ × 3¹ × 7¹ × 109¹ × 11² × 19¹
LCM(4578,4598) = 10524822