GCF and LCM Calculator Logo

What is the Least Common Multiple of 4783 and 4798?

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 4783 and 4798 is 22948834.

LCM(4783,4798) = 22948834

LCM Calculator and
and

Least Common Multiple of 4783 and 4798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4783 and 4798, than apply into the LCM equation.

GCF(4783,4798) = 1
LCM(4783,4798) = ( 4783 × 4798) / 1
LCM(4783,4798) = 22948834 / 1
LCM(4783,4798) = 22948834

Least Common Multiple (LCM) of 4783 and 4798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4783 and 4798. First we will calculate the prime factors of 4783 and 4798.

Prime Factorization of 4783

Prime factors of 4783 are 4783. Prime factorization of 4783 in exponential form is:

4783 = 47831

Prime Factorization of 4798

Prime factors of 4798 are 2, 2399. Prime factorization of 4798 in exponential form is:

4798 = 21 × 23991

Now multiplying the highest exponent prime factors to calculate the LCM of 4783 and 4798.

LCM(4783,4798) = 47831 × 21 × 23991
LCM(4783,4798) = 22948834