GCF and LCM Calculator Logo

What is the Least Common Multiple of 63818 and 63824?

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 63818 and 63824 is 2036560016.

LCM(63818,63824) = 2036560016

LCM Calculator and
and

Least Common Multiple of 63818 and 63824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63818 and 63824, than apply into the LCM equation.

GCF(63818,63824) = 2
LCM(63818,63824) = ( 63818 × 63824) / 2
LCM(63818,63824) = 4073120032 / 2
LCM(63818,63824) = 2036560016

Least Common Multiple (LCM) of 63818 and 63824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63818 and 63824. First we will calculate the prime factors of 63818 and 63824.

Prime Factorization of 63818

Prime factors of 63818 are 2, 17, 1877. Prime factorization of 63818 in exponential form is:

63818 = 21 × 171 × 18771

Prime Factorization of 63824

Prime factors of 63824 are 2, 3989. Prime factorization of 63824 in exponential form is:

63824 = 24 × 39891

Now multiplying the highest exponent prime factors to calculate the LCM of 63818 and 63824.

LCM(63818,63824) = 24 × 171 × 18771 × 39891
LCM(63818,63824) = 2036560016