GCF and LCM Calculator Logo

What is the Least Common Multiple of 4603 and 4612?

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 4603 and 4612 is 21229036.

LCM(4603,4612) = 21229036

LCM Calculator and
and

Least Common Multiple of 4603 and 4612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4603 and 4612, than apply into the LCM equation.

GCF(4603,4612) = 1
LCM(4603,4612) = ( 4603 × 4612) / 1
LCM(4603,4612) = 21229036 / 1
LCM(4603,4612) = 21229036

Least Common Multiple (LCM) of 4603 and 4612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4603 and 4612. First we will calculate the prime factors of 4603 and 4612.

Prime Factorization of 4603

Prime factors of 4603 are 4603. Prime factorization of 4603 in exponential form is:

4603 = 46031

Prime Factorization of 4612

Prime factors of 4612 are 2, 1153. Prime factorization of 4612 in exponential form is:

4612 = 22 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 4603 and 4612.

LCM(4603,4612) = 46031 × 22 × 11531
LCM(4603,4612) = 21229036