GCF and LCM Calculator Logo

What is the Least Common Multiple of 4810 and 4824?

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 4810 and 4824 is 11601720.

LCM(4810,4824) = 11601720

LCM Calculator and
and

Least Common Multiple of 4810 and 4824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4810 and 4824, than apply into the LCM equation.

GCF(4810,4824) = 2
LCM(4810,4824) = ( 4810 × 4824) / 2
LCM(4810,4824) = 23203440 / 2
LCM(4810,4824) = 11601720

Least Common Multiple (LCM) of 4810 and 4824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4810 and 4824. First we will calculate the prime factors of 4810 and 4824.

Prime Factorization of 4810

Prime factors of 4810 are 2, 5, 13, 37. Prime factorization of 4810 in exponential form is:

4810 = 21 × 51 × 131 × 371

Prime Factorization of 4824

Prime factors of 4824 are 2, 3, 67. Prime factorization of 4824 in exponential form is:

4824 = 23 × 32 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 4810 and 4824.

LCM(4810,4824) = 23 × 51 × 131 × 371 × 32 × 671
LCM(4810,4824) = 11601720