GCF and LCM Calculator Logo

What is the Least Common Multiple of 4613 and 4617?

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 4613 and 4617 is 21298221.

LCM(4613,4617) = 21298221

LCM Calculator and
and

Least Common Multiple of 4613 and 4617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4613 and 4617, than apply into the LCM equation.

GCF(4613,4617) = 1
LCM(4613,4617) = ( 4613 × 4617) / 1
LCM(4613,4617) = 21298221 / 1
LCM(4613,4617) = 21298221

Least Common Multiple (LCM) of 4613 and 4617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4613 and 4617. First we will calculate the prime factors of 4613 and 4617.

Prime Factorization of 4613

Prime factors of 4613 are 7, 659. Prime factorization of 4613 in exponential form is:

4613 = 71 × 6591

Prime Factorization of 4617

Prime factors of 4617 are 3, 19. Prime factorization of 4617 in exponential form is:

4617 = 35 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 4613 and 4617.

LCM(4613,4617) = 71 × 6591 × 35 × 191
LCM(4613,4617) = 21298221