GCF and LCM Calculator Logo

What is the Least Common Multiple of 4818 and 4829?

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 4818 and 4829 is 2115102.

LCM(4818,4829) = 2115102

LCM Calculator and
and

Least Common Multiple of 4818 and 4829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4818 and 4829, than apply into the LCM equation.

GCF(4818,4829) = 11
LCM(4818,4829) = ( 4818 × 4829) / 11
LCM(4818,4829) = 23266122 / 11
LCM(4818,4829) = 2115102

Least Common Multiple (LCM) of 4818 and 4829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4818 and 4829. First we will calculate the prime factors of 4818 and 4829.

Prime Factorization of 4818

Prime factors of 4818 are 2, 3, 11, 73. Prime factorization of 4818 in exponential form is:

4818 = 21 × 31 × 111 × 731

Prime Factorization of 4829

Prime factors of 4829 are 11, 439. Prime factorization of 4829 in exponential form is:

4829 = 111 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 4818 and 4829.

LCM(4818,4829) = 21 × 31 × 111 × 731 × 4391
LCM(4818,4829) = 2115102