GCF and LCM Calculator Logo

What is the Least Common Multiple of 4814 and 4821?

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 4814 and 4821 is 23208294.

LCM(4814,4821) = 23208294

LCM Calculator and
and

Least Common Multiple of 4814 and 4821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4814 and 4821, than apply into the LCM equation.

GCF(4814,4821) = 1
LCM(4814,4821) = ( 4814 × 4821) / 1
LCM(4814,4821) = 23208294 / 1
LCM(4814,4821) = 23208294

Least Common Multiple (LCM) of 4814 and 4821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4814 and 4821. First we will calculate the prime factors of 4814 and 4821.

Prime Factorization of 4814

Prime factors of 4814 are 2, 29, 83. Prime factorization of 4814 in exponential form is:

4814 = 21 × 291 × 831

Prime Factorization of 4821

Prime factors of 4821 are 3, 1607. Prime factorization of 4821 in exponential form is:

4821 = 31 × 16071

Now multiplying the highest exponent prime factors to calculate the LCM of 4814 and 4821.

LCM(4814,4821) = 21 × 291 × 831 × 31 × 16071
LCM(4814,4821) = 23208294