GCF and LCM Calculator Logo

What is the Least Common Multiple of 4581 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 (LCM) of 4581 and 4598 is 21063438.

LCM(4581,4598) = 21063438

LCM Calculator and
and

Least Common Multiple of 4581 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 4581 and 4598, than apply into the LCM equation.

GCF(4581,4598) = 1
LCM(4581,4598) = ( 4581 × 4598) / 1
LCM(4581,4598) = 21063438 / 1
LCM(4581,4598) = 21063438

Least Common Multiple (LCM) of 4581 and 4598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4581 and 4598. First we will calculate the prime factors of 4581 and 4598.

Prime Factorization of 4581

Prime factors of 4581 are 3, 509. Prime factorization of 4581 in exponential form is:

4581 = 32 × 5091

Prime Factorization of 4598

Prime factors of 4598 are 2, 11, 19. Prime factorization of 4598 in exponential form is:

4598 = 21 × 112 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 4581 and 4598.

LCM(4581,4598) = 32 × 5091 × 21 × 112 × 191
LCM(4581,4598) = 21063438