What is the Least Common Multiple of 63852 and 63866?

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 of 63852 and 63866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63852 and 63866, than apply into the LCM equation.

GCF(63852,63866) = 2
LCM(63852,63866) = ( 63852 × 63866) / 2
LCM(63852,63866) = 4077971832 / 2
LCM(63852,63866) = 2038985916

Least Common Multiple (LCM) of 63852 and 63866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63852 and 63866. First we will calculate the prime factors of 63852 and 63866.

Prime Factorization of 63852

Prime Factorization of 63866

Now multiplying the highest exponent prime factors to calculate the LCM of 63852 and 63866.

LCM(63852,63866) = 2² × 3¹ × 17¹ × 313¹ × 11¹ × 2903¹
LCM(63852,63866) = 2038985916