GCF and LCM Calculator Logo

What is the Least Common Multiple of 4849 and 4863?

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 4849 and 4863 is 23580687.

LCM(4849,4863) = 23580687

LCM Calculator and
and

Least Common Multiple of 4849 and 4863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4849 and 4863, than apply into the LCM equation.

GCF(4849,4863) = 1
LCM(4849,4863) = ( 4849 × 4863) / 1
LCM(4849,4863) = 23580687 / 1
LCM(4849,4863) = 23580687

Least Common Multiple (LCM) of 4849 and 4863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4849 and 4863. First we will calculate the prime factors of 4849 and 4863.

Prime Factorization of 4849

Prime factors of 4849 are 13, 373. Prime factorization of 4849 in exponential form is:

4849 = 131 × 3731

Prime Factorization of 4863

Prime factors of 4863 are 3, 1621. Prime factorization of 4863 in exponential form is:

4863 = 31 × 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 4849 and 4863.

LCM(4849,4863) = 131 × 3731 × 31 × 16211
LCM(4849,4863) = 23580687